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HOMOGENEOUS COMPLEX MANIFOLDS AND REPRESENTATIONS OF SEMISIMPLE LIE GROUPS [PDF]
Proceedings of the National Academy of Sciences of the United States of America, 1968 Wilfried Schmid, Schmid Wilfried
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ON CERTAIN HOMOGENEOUS COMPLEX MANIFOLDS [PDF]
Proceedings of the National Academy of Sciences of the United States of America, 1962 Phillip A Griffiths, Griffiths Phillip A
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SOME RESULTS ON LOCALLY HOMOGENEOUS COMPLEX MANIFOLDS [PDF]
Proceedings of the National Academy of Sciences of the United States of America, 1966 P. Griffiths
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Complex subspaces of homogeneous complex manifolds II—Homotopy Results [PDF]
Nagoya Mathematical Journal, 1982 The Lefschetz hyperplane section theorem has roots going back at least to Picard, but it was Lefschetz [20] who first stated and proved it in the modern form for integer homology. Later it was improved up to the homotopy level by Andreotti-Frankel [1] and Bott [8] using an idea of Thorn. Numerous generalizations along the same lines have appeared, e.g.
A. Sommese
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On automorphism groups of homogeneous complex manifolds [PDF]
Proceedings of the American Mathematical Society, 1961 The reproducing property of the Bergman kernel function [1 ] plays an essential role in our proof. As we consider not only bounded domains in Cn, but also general complex manifolds, we replace the kernel function by the kernel form (see [2 ] for the definition and properties of the kernel form).
Shôshichi Kobayashi
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Theorems of Barth-Lefschetz type for complex subspaces of homogeneous complex manifolds. [PDF]
Proceedings of the National Academy of Sciences, 1977 Barth, Larsen, and others showed that complex submanifolds of complex projective space, C P N , of small codimension strongly resemble C P N both homotopically and cohomologically.
A. Sommese
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On closed radical orbits in homogeneous complex manifolds [PDF]
Bulletin of the Australian Mathematical Society, 1996 Suppose G is a complex Lie group having a finite number of connected components and H is a closed complex subgroup of G with H° solvable. Let RG denote the radical of G.
B. Gilligan
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Homogeneous almost complex manifolds and their compact quotients [PDF]
International Journal of Mathematics, 2017 This paper investigates the (non)existence of compact quotients of the homogeneous almost-complex strongly-pseudoconvex manifolds discovered and classified by Gaussier–Sukhov [Wong–Rosay theorem in almost complex manifolds, http:www.arXiv.org:math.CV ...
Kang-Tae Kim +2 more
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Compact homogeneous Leviflat CR-manifolds
Complex Analysis and Its Synergies, 2021 We consider compact Leviflat homogeneous Cauchy–Riemann (CR) manifolds. In this setting, the Levi-foliation exists and we show that all its leaves are homogeneous and biholomorphic.
Bc Gilligan
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Homogeneous Complex Manifolds with more than One End
Canadian Journal of Mathematics, 1989 For homogeneous spaces of a (real) Lie group one of the fundamental results concerning ends (in the sense of Freudenthal [8] ) is due to A. Borel [6]. He showed that if X = G/H is the homogeneous space of a connected Lie group G by a closed connected subgroup H, then X has at most two ends.
B. Gilligan +2 more
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