4,698 research outputs found
Opérateurs de Monge-Ampère symplectiques en dimensions 3 et 4
No full textLe sujet principal de cette thèse est l'étude du problème d'équivalence des équations de Monge-Ampère en trois variables. Nous abordons ce problème du point de vue de la théorie géométrique des invariants scalaires différentiels en utilisant la correspondance de Lychagin et Roubtsov entre ces équations et certaines formes différentielles sur une variété symplectique, les formes effectives. Nous étudions tout d'abord la géométrie des formes effectives sur un espace vectoriel symplectique. La liste exhaustive des différentes orbites de l'action du groupe symplectique Sp(3) sur l'espace des 3-formes effectives est donnée. Nous montrons que l'invariant quadratique de Lychagin-Roubtsov est un invariant caractéristique de ces orbites et nous interprétons cet invariant comme une application moment en utilisant l'approche de Hitchin sur la géométrie des 3-formes extérieures. Nous donnons ensuite une condition suffisante pour qu'une équation de Monge-Ampère sur R3 soit localement équivalente à l'une des trois équations à coefficients constants non dégénérée au sens de Hitchin. Cette condition porte sur les dérivées d'ordre 1 et 2 des coefficients de la forme effective sur T*R3 associée. Ce résultat complète et simplifie un résultat démontré par Lychagin et Roubtsov. Nous donnons toutefois un second critère d'équivalence locale qui se comprend mieux du point de vue géométrique. Nous associons pour cela à chaque équation de Monge-Ampère en trois variables une structure de type Calabi-Yau et nous interprétons ce problème d'équivalence locale en termes d'intégrabilité de cette structure et de courbure de la métrique associée. Ce résultat est l'analogue en dimension 3 de la correspondance de Lychagin et Roubtsov entre équations de Monge-Ampère à coefficients constants et structures complexes ou structures produits intégrables en dimension 2. Nous étudions enfin la grassmannienne associée à une équation de Monge-Ampère non dégénérée au sens de Hitchin. Nous généralisons notamment la description de la grassmannienne des sous espaces lagrangiens spéciaux par l'espace homogène SU (3) / SO (3) et nous complétons le calcul des classes caractéristiques associées de Zilbergleit. Nous abordons aussi dans cette thèse le cas de la dimension 4. Nous introduisons en particulier un analogue complexe des opérateurs de Monge-Ampère, les opérateurs pluriharmoniques sur une variété complexe. Nous établissons une correspondance entre ces opérateurs pluriharmoniques et les formes bieffectives et nous montrons sur quelques exemples comment étudier la géométrie des solutions pluriharmoniques d'une équation de Monge-Ampère sur R4.ANGERS-BU Lettres et Sciences (490072106) / SudocSudocFranceF
Life and work of academician Vladimir Bayer
No full textAkademik Vladimir Bayer, učenik gimnazije u Osijeku, redoviti profesor na katedri Kazneni postupak Pravnog fakulteta Sveučilišta u Zagrebu i redoviti član JAZU-a, od 1986. jedan je od najistaknutijih i najcjenjenijih hrvatskih pravnika. Autor je brojnih zanstvenih i stručih radova iz procesnog i materijalnog kaznenog prava, povijesti kaznenog prava, penologije i pravne nastave. Znatan dio njegova znanstvenog djela ugrađen je u zakonske propise. Zastupa ideje pravnopolitički liberalno usmjerene teorije kaznenog prava i suglasno tome zalaže se za postavljanje preciznih i čvrstih granica represivnih ovlasti državnih tijela. Zajedno s profesorom Bogdanom Zlatarićem utemeljitelj je uglednog Poslijediplomskog studija iz kaznenopravnih znanosti Pravnog fakulteta Sveučilišta u Zagrebu.The academician Vladimir Bayer, who attended secondary-school in Osijek and has been professor at the Chair of Criminal Procedural Law at the Faculty of Law in Zagreb, University of Zagreb has also been a regular member of JAZU since 1986. He is one of the most significant and highly regarded Croatian jurists, the author of a number of scientific, expert papers in the field of procedural and material criminal law, history of criminal law, penology and law teaching. His scientific work makes a considerable integral part of legal regulations. He stands for the criminal law theory of legal-political liberal orientation and accordingly for setting precise and firm boundaries to repressive powers of the authorities. He established together with professor Bogdan Zlatarić the renowned postgraduate studies in criminal law science at the Faculty of Law in Zagreb
Names of Vladimir the Great in Liturgical Texts and the Perception of his Sainthood in the 14th and 17th Centuries
No full textThe article examines attributive and agentive names of the grand prince of Kiev, Vladimir Svyatoslavich as they appear in liturgical texts of the 14th and 17th centuries, that either circulated independently or were employed at church services especially dedicated to the saint. Presuming that the first laudatory songs glorifying Vladimir date back to the 12th century, the author observes the steady increase of the number of such attributive and agentive names in liturgical texts and marks the period from the 14th through the 17th centuries as a peak of textual activity surrounding Vladimir. As the tables included in the article indicate, the increase in number was accompanied by the corresponding increase in semantic and imagery complexity. The names, employed in broader contextual meanings, became associated with various semantic fields and, above all, began to express abstract ideas related to the ideal vision of the personality of the saint and its historical, metaphysical, and spiritual dimensions
Ivan IV and Vladimir Staritsky: Political Struggle or Competition in Piety?
No full textIntroduction. The author researched and prepared for publication four acts of 1547–1566 issued by Ivan IV and the appanage prince Vladimir Andreevich on the villages of the Trinity-Sergius Monastery in Vereysky and Dmitrov counties. The diplomas are studied in the context of the corpus of act and narrative sources, containing the plot of the relationship of the appanage prince with his suzerain. Methods and materials. The task of this article is to clarify the real participation of Prince Vladimir in the political and administrative life of the country for three years from 1566 to 1569 and is solved by a comprehensive analysis of narrative texts and the act material in which the real prerogatives of the appanage prince are documented. Analysis. An indicator of Vladimir Staritsky’s administrative and political activity is the intensity and nature of the charters issued and preserved by him, and their correlation with the acts of Ivan IV, to which the key part of the article is devoted. Results. It has been established that in addition to the acts drawn up in the office of the appanage prince relatively independently, acts have been preserved in the compilation of which protographs were used. When creating the acts in 1566, the offices of the tsar and the appanage prince used the letters of 1547 and 1548, the form of which was reproduced without significant changes. It is hypothesized that the acts of Prince Vladimir Andreevich and Ivan IV indicate a kind of competition in piety between the autocratic monarch and the prince of the blood
Poisson and Symplectic structures, Hamiltonian action, momentum and reduction
No full text31 pages, 14 references. Other author's papers can be downloaded at http://www.denys-dutykh.com/This manuscript is essentially a collection of lecture notes which were given by the first author at the Summer School Wisla-2019, Poland and written down by the second author. As the title suggests, the material covered here includes the Poisson and symplectic structures (Poisson manifolds, Poisson bi-vectors and Poisson brackets), group actions and orbits (infinitesimal action, stabilizers and adjoint representations), moment maps, Poisson and Hamiltonian actions. Finally, the phase space reduction is also discussed. The very last section introduces the Poisson-Lie structures along with some related notions. This text represents a brief review of a well-known material citing standard references for more details. The exposition is concise but pedagogical. The Authors believe that it will be useful as an introductory exposition for students interested in this specific topic
Efroimson, Vladimir Pavlovich
No full textEFROIMSON, VLADIMIR PAVLOVICH ( 1908-1989). Geneticist, seminal figure in the development of population and medical genetics, author of works on sociobiology and the genetics of human ethical and aesthetic behavior
Poisson and Symplectic structures, Hamiltonian action, momentum and reduction
No full text31 pages, 14 references. Other author's papers can be downloaded at http://www.denys-dutykh.com/This manuscript is essentially a collection of lecture notes which were given by the first author at the Summer School Wisla-2019, Poland and written down by the second author. As the title suggests, the material covered here includes the Poisson and symplectic structures (Poisson manifolds, Poisson bi-vectors and Poisson brackets), group actions and orbits (infinitesimal action, stabilizers and adjoint representations), moment maps, Poisson and Hamiltonian actions. Finally, the phase space reduction is also discussed. The very last section introduces the Poisson-Lie structures along with some related notions. This text represents a brief review of a well-known material citing standard references for more details. The exposition is concise but pedagogical. The Authors believe that it will be useful as an introductory exposition for students interested in this specific topic
Russian Revolution, Vladimir Lenin
No full textAn image scanned from a black and white photograph of Vladimir Lenin walking down the street and a woman behind him. Within a series of photographs saved by author Arnold Rubenstein of Trotsky and Lenin.https://digitalcommons.library.umaine.edu/spec_photos/3507/thumbnail.jp
Vladimir Burtsev and the Russian revolutionary emigration: surveillance of foreign political refugees in London, 1891-1905.
No full textPhDThe thesis describes the early life in emigration of the Russian revolutionary, historian
and radical journalist Vladimir L'vovich Burtsev (17/29 November 1862 - 21 August
1942). Particular emphasis is placed on the nature and extent of the police
surveillance of Burtsev and the émigré community in Europe during the period. The
relationship between the Criminal Investigation Department of London's
Metropolitan Police and their Russian counterparts in Europe - the Zagranichnaia
agentura, ('Foreign Agency') - is examined in detail.
Burtsev's biography has great contemporary relevance, unfolding, as it does, in an
atmosphere of increasing anxiety in Britain (both governmental and non-official)
about growing numbers of foreign anarchists, terrorists, and `aliens' in general (which
would lead, in due course, to the passing of the 1905 Aliens Act) and the increasingly
interventionist police methods of the era. The thesis describes Burtsev's relationship
with the émigré community and its British supporters, examines his (at times extreme)
political views and reviews the radical journalism which led to his trial and
imprisonment in 1898. This, the `Burtsev affair', signalled a major shift in British
government policy towards political refugees on the one hand and to international
counter-terrorist co-operation on the other and it is one of the aims of this thesis to
detail the reasons for these changes
Strong automorphisms of regular Courant algebroids
No full textLes algébroïdes de Courant ont été introduits par T. J. Courant dans sa thèse portant sur l’intégrabilité des structures de Dirac. Ils sont devenus d’importants objets en géométrie différentielle depuis le travail de Z.-J. Liu, A. Weinstein et P. Xu sur les bigébroïdes de Lie. Ils jouent un rôle grandissant en physique théorique ainsi qu’en mathématiques. Dans cette thèse, on s’intéresse à décrire les automorphismes forts d’un algébroïde de Courant régulier. Dans une première partie des rappels sont faits sur les algébroïdes de Lie. Dans une seconde partie, on étudie les algébroïdes de Courant. Dans une troisième partie, après introduction de la notion de dissection, nous explicitons le groupe des automorphismes forts d’un algébroïde de Courant régulier relativement à une dissection, et calculons l’algèbre de Lie des automorphismes infinitésimaux relativement à cette dissection. De cette étude sont apparues de nouvelles symétries qui pourraient s’avérer utiles en physique théorique.Courant algebroids have been introduced by T. J. Courant in his PhD thesis concerning the integrability of Dirac structures. They have become important objects in differential geometry since the seminal work of Z.-J. Liu, A. Weinstein and P. Xu on Lie bialgebroids. They play an increasing role in theoretical physics as well as inmathematics. In this thesis, we are interested by describing strong automorphisms of a regular Courant algebroid. In a first part, we review Lie algebroids. In a second part, we study Courant algebroids. In a third part, after introducing the notion of dissection, we compute the automorphism group of a regular Courant algebroid with respect to a dissection of it, and then compute the Lie algebra of infinitesimal automorphisms with respect to this dissection. From this work appeared new symmetries that could be useful in theoretical physics
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