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The Gutsunaev-Manko static vacuum solution
The Gutsunaev-Manko static vacuum metric is presented in explicit form. © 1994 Plenum Publishing Corporation
Melancolía en la poesía andina: «Himno a Manko Kapac»
Melancholy is part of the soul of the human being. It is projected in any vital women and men areas of the culture, especially in the field of literature. Western melancholy has been deeply studied and profusely analyzed, but the same has not happened with Andean melancholy. After the Conquest of America by the Spanish conquerors, the Andean soul fell in a lake of sadness. In this paper we try to show the brightness of the Andean heart. The selection of the poem «Hymn to Manko Kapac» is a homage to Peruvian indigenous culture. The intrinsic melancholy, many centuries later, will give wings to the creative talent of the brilliant poet César Vallejo. The wonderful poetry of this author continues the line shown by its predecessors: the first Andean poets who wrote «Hymn to Manko Kapac». Key words: Andean culture, poetry, indigenism, Manko Kapac, melancholy.La melancolía forma parte de la esencia del ser humano. Se ve proyectada en todas las áreas vitales de las mujeres y los hombres, especialmente, en el campo de la literatura. La melancolía occidental ha sido profusamente estudiada y analizada. Pero no ocurre lo mismo con la melancolía andina. Tras la conquista de América a manos de los españoles primero y los europeos después, el alma andina, ya de por sí melancólica, se fue sumiendo en una mayor tristeza. El objetivo de este trabajo es el de resaltar y dar cabida a la melancolía del alma andina y subrayar el aliento creativo del que manarán posteriores creaciones artísticas. La metodología a seguir es el uso de las herramientas que nos aporta la especialidad académica de la teoría de la Literatura y la Literatura Comparada. La elección del poema «Himno a Manko Kapac» es un homenaje al mundo indígena peruano. Esa melancolía intrínseca que dio lugar a este poema, muchos siglos después otorgará las alas al talento creador del genial poeta César Vallejo. La maravillosa poesía de este autor sigue la línea marcada por sus antecesores: los primeros poetas andinos autores de «Himno de Manko Kapac».Palabras clave: cultura andina, poesía, indigenismo, Manko Kapac, melancolía
Max Manko Portraits Men
Br. Manko Mitglied der Hermann Cohen Loge in Frankfurt a/Main.Digital ImageBorn October 16, 1895 in Alzenau, died May 16, 1952 in New York. Was member of Hermann Cohen Loge in Frankfurt
Pericoma inopinata Jezek, Obona & Manko 2021, sp. nov.
Pericoma inopinata Ježek, Oboňa & Manko sp. nov. (Figs 22–37) Description. Male. Head roundish, as long as wide (Fig. 22), with prominent cut vertex. Eyes separated, compound, kidney or C-shaped laterally, upper apices of eyes narrower in contrast to lower ones. Posteriolateral margins of eyes with 2–4 insertions of supraocular bristles on both sides. Setae alveoli are almost regularly spaced over the medial surface in spite of lateral patches with sporadic insertions and gore-shaped scar free areas laterally above eyes. Interocular suture bow-shaped, eye bridge formed generally by four facet rows, frontal marginal rows are reduced to three facets (Fig. 30). Minimum distance between eyes corresponds roughly to 3.4 facet diameters; index of distance from tangential points of eye apices to minimum of frons 8.0. Setae alveoli of frontoclypeus arranged almost in rectangular, centrally placed patch near base of antennae, tapering abruptly to a dorsoventral very narrow stripe of hairs close below frontal suture (Figs 22, 30). Antennae (Figs 23, 31) of 16 articles. Scape cylindrical, as long as globular pedicel, but narrower, first flagellomeres spindle-shaped, last ones ovoid; terminal flagellomere with an excentrical digital apiculus. Ascoids of flagellomeres 2-13 needle-shaped, a little bent, paired, twice shorter than flagellomeres in which are inserted. At the labellum, as shown in Fig. 32, parallel lines of miniature spines between both lobes absent. Labellum bulbose, without conspicuous digital protuberances in between (Fig. 32). Length ratio of maxillary palps 1.0:1.6:1.6:2.9, segment 4 annulate (Fig. 24). Ratio of maximum length of cibarium to length of epipharynx 1.3:1 (Fig. 25), labrum pointed. Thorax. Anepisternum setae patch almost semicircular, with circular thoracic spiracle anteriorly; anepimeron approximately with trapezoid setose patch (Fig. 26). Spiracles narrowly separated from protuberant anterior region of anepisternite and set on low on mesothorax. No thoracic allurement organs. Wings (Fig. 34) lanceolate, a little expanded et the posterior margin, 2.0 mm in holotype, 1.9–2.1 mm, in paratypes, rounded distally, the ending of R 5 a little beyond the tip of wing. Wing membrane not infuscated. Following veins or their parts strengthened: Sc (conspicuously on both ends), R 1, R 5, CuA 1, CuA 2 (markedly in one quarter basally). Radial fork in contrast to medial one complete (Fig. 34). Both forks and the ending of CuA 2 are not in one line; medial fork positioned somewhat to basal wing cell. Wing index 2.7. Knob of halteres (Fig. 33) globular, slightly asymmetrical, tapering to a prolonged stem with a basal fold. Scales are narrow, lanceolate, in contrast to three sensory microsetae ventrally arranged in a vertical row. Ratio of maximum length of halteres (measured to the fold of stem) to their maximum width 2.3: 1. Ratios of lengths of femora, tibiae and first tarsal segments: P 1 1.9:2.0:1.0, P 2 2.0:2.4:1.1, P 3 2.1:2.7:1.2. Paired tarsal claws of P 1 only a little bent in their last third, pointed, haired basally. Male genitalia with hypandrium stripe-shaped of the same width (Fig. 29). Aedeagal complex with basiphallus (ejaculatory apodeme) almost straight and narrow in dorsal view (Fig. 29), inconspicuously swollen and rounded proximally and conspicuously inflated distally to bul-shaped form; apodeme is weakened in the middle (lateral view, Fig. 37), strangulated by two clefts in one third basally and bent in second third. Distiphallus consisting of two phallomeres forming a spatula with divergent and pointed long lateral V-shaped protuberances only a little shorter than two parameral sclerites pointed and touched distally. Parameral joints with a transverse slightly curved wave band-like sclerite proximally connected by two narrow stripes with a sclerotized circle, and distally with divergent bolt-shaped protuberances, 0.5 time as long as phallomeres. Gonocoxal condyles apparently fused with parameral sheath. Gonopods see Figs 28, 29. Gonocoxites are almost cylindrical, stout, as long as gonostyli, at first of the same width, then rapidly tapering to the conspicuously sclerotized prolonged tips (Fig. 29). Gonocoxites have two long setae on the inner side basally, hardly as long as phallomeres. Epandrium (Figs 35, 36) quadrate with two patches of hairs on both sides caudally and a deep notch distally. Central aperture elliptical, doubled, strangulated in the middle. Ventral plate was not observed, only perhaps elliptical remnants. Hypoproct is tongue-shaped, triangular; epiproct only as a fold with a conical inner basis, narrowed medially. Both parts haired. Epandrial claspers almost cylindrical, haired, straight (dorsal view, Fig. 35), a little widened at basis and bent (lateral view, Fig. 36), 1.3-times as long as epandrium, with 5 tenacula subapically; ends are not frayed. Female. Unknown. Differential diagnosis. Pericoma inopinata can hardly be distinguished at first sight from the similar species P. calcilega Feuerborn, 1923, P. pingarestica Vaillant, 1978, P. tonnoiri Vaillant, 1978; and P. vestita Vaillant & Withers, 1993 (a part of Vaillant’s group trifasciata – see Vaillant 1978, part 317, p. 214, calcilega subgroup of Vaillant & Withers 1993 and the key of Kvifte & Ivkovic 2018), with a distiphallus consisting of two phallomeres forming a spatula with divergent and pointed or rounded long lateral V-shaped protuberances. In the new species, the two parameral sclerites are not pointed; they are blunt and separated distally. The gonostyli are at first almost globular (swollen) and bent in almost right angle to very prolonged, thin, needle-shaped protuberances. P. inopinata has two parameral sclerites tapering and touched caudally in one point, and the gonostyli are, moreover, at first cylindrical at first and then rapidly tapering to the conspicuously sclerotized prolonged tips, almost straight or only a little arched (Fig. 29). Type material. Holotype male: Transcaucasia, Georgia, Mtskheta – Mtianeti region, Mejilaurni, forest and bushy springs, outlets, 1270 m a.s.l., 42°19’25.4”N 44°38’43.9”E, 13.vii.2019, by sweep netting, Kovács, Manko, Murányi and Vinçon leg (Fig 39). Slide with a dissected specimen, Cat. No. 34878, Inv. No. 25935 (NMPC). Paratypes 22 males (slides): 20 males of the same locality, method, collectors and date, Cat. No. 34879-34898, Inv. No. 25936-25955 (NMPC); two males Azerbaijan, Qax district, Lǝkit, Mamırlı waterfall and springs, 600 m a.s.l., 41°29’34.0”N 46°51’32.1”E, 7.v.2019, by sweep netting, Oboňa and Manko leg. Slide with a dissected specimen, Cat. No. 34876-34877, Inv. No. 25933-25934 (NMPC). Type locality. Georgia, Mtskheta – Mtianeti region, Mejilaurni. Etymology. Inopinatus – a, – um from Lat. (adjective) = unexpected; refers to a scientific bombshell in spring areas of Transcaucasia. Bionomics. Unknown, males were collected near montane waterfalls, springs and outlets. Distribution. Currently recorded only from Azerbaijan and Georgia.Published as part of Ježek, Jan, Oboňa, Jozef & Manko, Peter, 2021, Two new Palaearctic species of moth flies (Diptera, Psychodidae, Psychodinae) from the Caucasus Mts., pp. 582-594 in Zootaxa 4985 (4) on pages 587-592, DOI: 10.11646/zootaxa.4985.4.11, http://zenodo.org/record/496404
Thornburghiella montana Jezek, Obona & Manko 2021, sp. nov.
Thornburghiella montana Ježek, Oboňa & Manko sp. nov. (Figs 1–21) Description. Male. Head hardly as long as broad (Fig. 1), 1.2 times broader. Vertex conically a little inflated dorsally (Figs 1) with a cut top. Numerous setae alveoli are almost regularly spaced over the entire surface in spite of scar free areas above C-shaped compound eyes laterally. Eyes separated, interocular suture arcuate (Figs 1, 12), eye bridge formed by five facet rows, frontal marginal rows are reduced to four facets. Minimum distance between eyes corresponds roughly to six facet diameters; index of distance from tangential points of eye apices to minimum of frons 3.2. Setae alveoli of frontoclypeus arranged almost in a triangular centrally placed patch near the base of antennae, tapering to a dorsoventral stripe of hairs close below frontal suture (Figs 1, 12). Patagia cylindrical, bag-shaped, constricted and contracted in one third, bent, covered with microsetae, see Fig. 11. Antenna with 15 articles; scape club-shaped (Fig. 2), somewhat widened apically, 2.5 times as long as its maximum width, narrowed et base, 4.9 times as long as its minimum width. Pedicel pitcher-shaped, symmetrical. Flagellomere 1 (postpedicel) cylindrical, hardly as long as three following flagellomeres together (Fig. 2). Postpedicel with six conspicuous, strong bristles arranged in a row, sometimes is the longest distal bristle doubled (from the same insertion). Scape and pedicel with stiletto-shaped scales in contrast to needle-shaped macrosetae of flagellomeres. Flagellomeres 2–12 ovoid, with needle-shaped paired ascoids, a little bent, shorter than flagellomeres in which are inserted; apical flagellomere twice as long as the previous one including digital apiculus placed a little out of longitudinal axis (Fig. 13). Length ratio of maxillary palpus segments 1.0:1.2:1.5:2.1; apical segment annulated (Fig. 3). Terminal labial lobes (Fig. 14) with diverging rows of spines between them. Ratio of maximum length of cibarium (Fig. 4) to length of epipharynx 1.7:1. Thorax. Anepisternum setae patch is almost trapezoid, anepimeron with triangular setose patch (Fig. 15). Spiracles set low on mesothorax. Wings (Fig. 16) lanceolate, 3.3 mm in holotype, 2.9–3.4 mm in paratypes, rounded distally, a little expanded at the posterior margin. The ending of R 5 beyond the tip of wing. Wing membrane slightly infuscated between Sc, R 1 and C and ends of all veins are a little strengthened distally with dark spots. Following veins or their parts strengthened: Sc with conspicuously marked origin and end, R 1 in distal three quarters, R 2, R 5, basal field, cross vein m 1 – m 2, CuA 1 and CuA 2 (conspicuously basally). Radial fork complete, medial fork in a form of a cross vein, their position see on Fig. 16. Both forks and the ending of CuA 2 are in one line (almost central area of wing). Wing index 2.4. Knob of halteres globular, with three close sensory microsetae ventrally, a prolonged stem as usually developed (Fig. 5). Ratio of maximum length of halteres to their maximum width approximately 2.8:1. Ratios of lengths of femora, tibiae and first tarsal segments P 1 2.0:2.3:1.0, P 2 2.1:2.8:1.1, P 3 2.4:3.2:1.2. Paired tarsal claws of P 1 gradually tapering, bent distad (Fig. 6). Male genitalia. Ejaculatory apodeme almost straight, only inconspicuously bent proximally and contracted distally (Figs 8, 21), aedeagal complex with paired sclerotized boomerang-shaped ribs diverged laterally and converged caudally. The basis of distiphallus is braced by gonocoxal apodeme – a chitinized stripe with three prolonged lobes (arms) of different shape and length (triangular and pale-shaped) on both sides (Fig. 8). Gonocoxites almost hemisphaerical (Figs 8–10), gonostyli ovoid basally, with irregular margins, conspicuously scelrotized, distal parts V-shaped, forked in two protuberances: sickle-shaped thin longer arm and thicker shorter saw-shaped one with numerous teeth (Figs 18–19). Epandrium (Figs 7, 17) almost semicircular in dorsal view, hardly rectangular from lateral one, not bare, (see two divided areas of insertions of hairs distally), posterior margin conspicuously sclerotized, emarginate, with a deep cleft. Basal paired apertures conspicuous, crevice-shaped, connected. Ventral epandrial plate reduced (Fig. 17). Hypandrium narrow with a lobulus in the middle (Fig. 8). Epiproct inconspicuous, as a rounded fold, covered with microsetae and dark structures inside; hypoproct conspicuous, setose, tongueshaped, rounded apically from dorsal view (Figs 7, 17). Epandrial claspers (surstyli) strong, enlarged basally in contrast to the top, almost straight from dorsal view (Fig. 17), bent at about one-third from lateral view (Fig. 7). Tenacula are numerous (30–35), formed in longitudinal rows on inner sides of clasping lobes, apically frayed. Female. Unknown. Differential diagnosis. Thornburghiella montana sp. nov. resembles T. kovari Ježek, 1993 in body size, as well as wing venation. The new species have head vertex a little inflated dorsally (Fig. 1); frons with a dorsoventral stripe of hairs (Figs 1, 12); postpedicel not constricted subapically (Fig. 2); hypandrium narrow with a lobulus in the middle (Fig. 8); gonostyli with two protuberances. (Figs 8–10, 18, 19); aedeagal complex with paired sclerotized boomerang-shaped ribs diverged laterally and converged caudally (Figs 8, 20, 21). Thornburghiella kovari is readily distinguishable by vertex of head, conspicuously elevated dorsally; frons without dorsoventral stripe of hairs; postpedicel constricted subapically; hypandrium stripe-shaped of the same width; gonostyli with three quite different bizarre protuberances; aedeagal complex with two parallel almost spatula-shaped cut protuberances and inner two linear ribs diverged caudally by conspicuous sclerotized hooks protruded outline of distiphallus. Type material. Holotype male: Transcaucasia, Georgia, Mtskheta – Mtianeti region, above the village Snotskali, a tributary of the Snotskali river, 1900 m a.s.l., 42°35’49.0”N 44°38’26.0”E (Fig. 38), 5.vii.2019, by sweep netting, Manko leg. Slide with a dissected specimen, Cat. No. 34899, Inv. No. 25956 (NMPC). Paratypes of 15 males (slides, some specimens dissected): The same locality, method, collectors and date, Cat. No. 34900-34909, Inv. No. 25957-25966 (NMPC); Gveleti, a stream beneath small waterfall, 1630 m a.s.l., 42°42’08.4”N 44°37’09.7”E, 12.vii.2019, by sweep netting, Kovács, Murányi and Vinçon leg., Cat. No. 34910- 34913, Inv. No. 25967-25970 (NMPC); Pansketi, the Snotskali River at its confluence with the Terek River, 1745 m a.s.l., 42°38’14.0”N 44°37’56.0”E, 12.vii.2019, by sweep netting, Kovács, Manko, Murányi and Vinçon leg., Cat. No. 34914, Inv. No. 25971 (NMPC). 6. Tarsal claw of P 1, lateral view. 7. Epandrium and epandrial claspers, lateral view. 8. Aedeagal complex and gonopod, dorsal view. 9. Gonopod, lateral view. 10. Same, caudal view. 11. Patagium. [Scale: 1-5, 7-11 = 0.2 mm; 6 = 0.05 mm] Type locality. Georgia, Mtskheta – Mtianeti region, Snotskali. Etymology. The specific epithet is derived from the Latin word “montanus – a – um“ (adjective) = montane (mountain); it refers to the high elevation of the studied habitats of this species. Bionomics. Unknown, males were collected near montane waterfalls and streams or confluences of rivers, 1630–1900 m a.s.l. Distribution. Currently recorded only from Georgia.Published as part of Ježek, Jan, Oboňa, Jozef & Manko, Peter, 2021, Two new Palaearctic species of moth flies (Diptera, Psychodidae, Psychodinae) from the Caucasus Mts., pp. 582-594 in Zootaxa 4985 (4) on pages 583-587, DOI: 10.11646/zootaxa.4985.4.11, http://zenodo.org/record/496404
Letter from Palma Manko to John (S2_B35_F1_25)
A letter from Palma Manko to John reading ""These are some extra photos from Dr. Ruebel's investiture. Hope you want them for archives."
Figure 8 from: Ježek J, Manko P, Oboňa J (2021) Psychodidae (Diptera) of Azerbaijan and Georgia – faunistics with biodiversity notes. ZooKeys 1049: 15-42. https://doi.org/10.3897/zookeys.1049.66063
Figure 8 The collecting site with the highest species richness in Azerbaijan (A 23), a karst brook in deciduous forest in the Şəki district, Şəki, Quirxbulaq, with seven species collected; general view (left) and different habitats (top right and bottom right which also include colleagues Libor Dvořák (left) and Ľuboš Hrivniak (right) collecting insects during a joint sampling campaign); photograph P. Manko
Revised research about chaotic dynamics in Manko et al spacetime
A recent work by Dubeibe et al. [Phys. Rev. D 75, 023008 (2007)] stated that chaos phenomenon of test particles in gravitational field of rotating neutron stars which are described by Manko, Sanabria-Gomez, and Manko (Manko et al.) metric can only occur when the stars have oblate deformation. But the chaotic motions they found are limited in a very narrow zone which is very close to the center of the massive bodies. This paper argues that this is impossible because the region is actually inside of the stars, so the motions cannot exist at this place. In this paper, we scan all parameters space and find chaos and unstable fixed points outside of stars with big mass-quadrupole moments. The calculations show that chaos can only occur when the stars have prolate deformation. Because real deformation of stars should be oblate, all orbits of test particles around the rotating neutron stars described by Manko et al. solutions are regular. The case of nonzero dipolar magnetic moment has also been taken into account in this study
Geodesics and resonances of the Manko-Novikov spacetime
Thesis (MSc)--Stellenbosch University, 2013.ENGLISH ABSTRACT: In this thesis I study compact objects described by the Manko-Novikov spacetime. The Manko-
Novikov spacetime is an exact solution to the Einstein Field Equations that allows objects to be
black hole-like, but with a multipole structure di erent from Kerr black holes. The aim of the
research is to investigate whether we will observationally be able to tell these bumpy black holes,
if they exist, apart from traditional Kerr black holes. I explore the geodesic motion of a test
probe in the Manko-Novikov spacetime. I quantify the motion using Poincar e maps and rotation
curves. The Manko-Novikov spacetime admits regions with regular motion as well as regions with
chaotic motion. The occurrence of chaos is correlated with orbits for which the characteristic
frequencies are resonant. The new result presented in this thesis is a global characterisation
of where resonances and thus chaos are likely to occur for all orbits. These calculations are
performed in the Kerr spacetime, from which I obtain that low order resonances occur within
20 Schwarzschild radii (or 40M) of the compact object with mass M. By the KAM theorem,
the occurrence of chaos is therefore limited to this region for all small perturbations from Kerr.
These resonant events will be measurable in the Galactic Centre using eLISA. This con nement
of low order resonances indicates that the frequency values of orbits of radii well outside of
20 Schwarzschild radii can be approximated using canonical perturbation theory.AFRIKAANSE OPSOMMING: In hierdie tesis word kompakte voorwerpe bestudeer soos omskryf deur die Manko-Novikov
ruimtetyd. Die Manko-Novikov ruimtetyd is 'n eksakte oplossing van die Einstein Veldvergelykings.
Die Manko-Novikov ruimtetyd formuleer gravitasiekolk-tipe voorwerpe waarvan die
veelpool-struktuur afwyk van die tradisionele Kerr gravitasiekolk-struktuur. Die oogmerk van die
navorsing is om vas te stel of ons met behulp van waarnemings hierdie bonkige gravitasiekolke van
die tradisionele Kerr gravitasiekolke kan onderskei. Ek ondersoek die geodetiese beweging van 'n
toetsmassa in die Manko-Novikov ruimtetyd. Die beweging word gekwanti seer met behulp van
Poincar e afbeeldings en rotasiekrommes. In die Manko-Novikov ruimtetyd identi seer ek gebiede
waarbinne re elmatige beweging voorkom asook gebiede waarbinne chaotiese bane voorkom. Die
ontstaan van chaos word geassosieer met bane waarvan die fundamentele frekwensies resonant is.
'n Nuwe resultaat wat in hierdie tesis voorgehou word behels 'n globale karakterisering wat aandui
waar resonansies en dus chaos na alle waarskynlikheid voorkom. Laasgenoemde berekeninge
word vir die Kerr ruimtetyd uitgevoer. Hierdeur toon ek alle lae orde resonansies kom voor binne
20 Schwarzschild radii (of 40M) vanaf die kompakte voorwerp met mass M. Die KAM Stelling
bepaal dan dat vir alle klein steurings toegepas op die Kerr ruimtetyd die voorkoms van chaos
beperk sal wees tot bogenoemde gebied. Die resonansies binne hierdie gebied sal deur eLISA in
die sentrum van die melkwegstelsel gemeet kan word. Hierdie beperking van lae orde resonansies
tot 'n sekere afstand vanaf die kompakte voorwerp verseker dat die frekwensies van bane wat
buite hierdie gebied val, akkuraat deur kanoniese steuringsteorie bepaal kan word
Exact solution of the Einstein-Maxwell equations referring to a charged spinning mass
The full metric representing a charged generalization of the Gutsunaev-Manko stationary vacuum solution is given in the explicit form
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