7,539 research outputs found

    On conformally invariant equations on Rn

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    Abstract. In this paper we provide a complete characterization of fully nonlinear conformally invariant differential operators of any integer order on Rn, which extends the result proved for operators of the second order by A. Li and the first named author in [38]. In particular we prove existence and uniqueness of a family of tensors (suitably invariant under Möbius transformations) which are the basic building blocks that appear in the definition of all conformally invariant differential operators on Rn. We also explicitly compute the tensors that are related to operators of order up to four. 1. Introduction an

    Pseudotachycines Qin & Liu & Li 2017, gen. nov.

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    Pseudotachycines gen. nov. Type species. Pseudotachycines deformis sp. nov., here designated. Description. Body medium-sized. Vertex of head divided into conical tubercles, distinctly separated. Legs elongate and slender, fore femora about 1.3–1.8 times as long as the pronotum. Paraproct of male specilized, distinctly longer than epiproct. Dorsolateral lobes of male genitalia with a distinctly sclerotized apex. This new genus is distinguished from Diestrammena (Tachycines) Adelung, 1902 by its specilized structure of male paraproct which distinctly longer than male epiproct and its dorsolateral lobes of male genitalia with apex being sclerotized.Published as part of Qin, Yanyan, Liu, Xianwei & Li, Kai, 2017, A new genus and some new descriptions of the tribe Aemodogryllini (Orthoptera, Rhaphidophoridae, Aemodogryllinae; Aemodogryllini) from China, pp. 482-490 in Zootaxa 4303 (4) on page 482, DOI: 10.11646/zootaxa.4303.4.2, http://zenodo.org/record/84148

    Review of the genus Microtachycines Gorochov with two new species (Orthoptera, Rhaphidophoridae, Aemodogryllinae) from China

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    Qin, Yanyan, Liu, Xianwei, Li, Kai (2017): Review of the genus Microtachycines Gorochov with two new species (Orthoptera, Rhaphidophoridae, Aemodogryllinae) from China. Zootaxa 4216 (6): 596-600, DOI: 10.5281/zenodo.24249

    Review of the cave cricket genus Tamdaotettix Gorochov with a new species and some new descriptions (Orthoptera: Rhaphidophoridae, Aemodogryllinae)

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    Qin, Yanyan, Liu, Xianwei, Li, Kai (2016): Review of the cave cricket genus Tamdaotettix Gorochov with a new species and some new descriptions (Orthoptera: Rhaphidophoridae, Aemodogryllinae). Zootaxa 4154 (3): 339-345, DOI: http://doi.org/10.11646/zootaxa.4154.3.

    A NEW SPECIES OF THE GENUS TAMDAOTETTIX (ORTHOPTERA: RHAPHIDOPHORIDAE) FROM YUNNAN WITH A KEY TO CHINESE SPECIES

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    Qin, Yanyan, Wang, Hanqiang, Li, Kai (2019): A NEW SPECIES OF THE GENUS TAMDAOTETTIX (ORTHOPTERA: RHAPHIDOPHORIDAE) FROM YUNNAN WITH A KEY TO CHINESE SPECIES. Far Eastern Entomologist 387: 1-6, DOI: 10.25221/fee.387.1, URL: http://dx.doi.org/10.25221/fee.387.

    Review of genus Paratachycines Storozhenko, 1990 (Orthoptera: Rhaphidophoridae: Aemodogryllinae) with a new recorded species from China

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    Qin, Yanyan, Liu, Xianwei, Li, Kai (2019): Review of genus Paratachycines Storozhenko, 1990 (Orthoptera: Rhaphidophoridae: Aemodogryllinae) with a new recorded species from China. Zootaxa 4700 (3): 394-400, DOI: https://doi.org/10.11646/zootaxa.4700.3.

    FIGURE 11 in A new genus of the tribe Aemodogryllini (Orthoptera, Rhaphidophoridae, Aemodogryllinae) from China

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    FIGURE 11. Gymnaetoides acutilobatus (Gorochov, 2010) comb. nov. 11. Male genitalia, dorsal view. (Copy from Gorochov, 2010)Published as part of Qin, Yanyan, Liu, Xianwei & Li, Kai, 2017, A new genus of the tribe Aemodogryllini (Orthoptera, Rhaphidophoridae, Aemodogryllinae) from China, pp. 186-190 in Zootaxa 4250 (2) on page 190, DOI: 10.11646/zootaxa.4250.2.4, http://zenodo.org/record/45247

    FIGURES 39–40 in Review of the subgenus Tachycines (Gymnaeta) Adelung, 1902 (Orthoptera, Rhaphidophoridae, Aemodogryllinae, Aemodogryllini)

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    FIGURES 39–40. Tachycines (Gymnaeta) belousovi (Gorochov, 2010). 39. male genitalia, dorsal view; 40. female subgenital plate, ventral view. (scale=1mm)Published as part of Qin, Yanyan, Liu, Xianwei & Li, Kai, 2019, Review of the subgenus Tachycines (Gymnaeta) Adelung, 1902 (Orthoptera, Rhaphidophoridae, Aemodogryllinae, Aemodogryllini), pp. 273-310 in Zootaxa 4560 (2) on page 288, DOI: 10.11646/zootaxa.4560.2.3, http://zenodo.org/record/262760
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