Results 211 to 220 of about 111,612 (248)
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The Classification of Three-Dimensional Homogeneous Complex Manifolds
Lecture Notes in Mathematics, 1995Jörg Winkelmann
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Recent results on homogeneous complex manifolds
Lecture Notes in Mathematics, 1987Oeljeklaus Karl
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, 1990
The subject of this article is the set of complex manifolds X whose group of automorphisms (of biholomorphic transformations) acts transitively on X. The list of one-dimensional complex manifolds having this property was surely known already to Poincare. It consists of the complex plane C, the punctured plane C* = ℂ\{0}, the unit disc in C, the Riemann
D. Akhiezer
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The subject of this article is the set of complex manifolds X whose group of automorphisms (of biholomorphic transformations) acts transitively on X. The list of one-dimensional complex manifolds having this property was surely known already to Poincare. It consists of the complex plane C, the punctured plane C* = ℂ\{0}, the unit disc in C, the Riemann
D. Akhiezer
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Homology Invariants of Homogeneous Complex Manifolds
, 1998A connected Lie group has an Iwasawa decomposition G = K × ℝ dG , where K is a maximal compact subgroup of G. It is well-known that a complex Lie group G is compact, i.e., d G = 0, if and only if G is a torus.
B. Gilligan
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Families of smooth hypersurfaces on certain compact homogeneous complex manifolds
Mathematical Proceedings of the Cambridge Philosophical Society, 1983Let X be a compact connected homogeneous complex manifold, which is Kāhlerian and has the second Betti number equal to one: b2(X) = 1; dimcX ≥ 3.It is known that these conditions imply the following: X is a projective-rational homogeneous manifold (see (3)); X has an ‘algebraic cell-decomposition’: the 2s-dimensional closed cells are s-dimensional ...
Ciprian S. Borcea
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On the homotopy structure of compact complex homogeneous manifolds
Izvestiya: Mathematics, 2016We consider compact complex homogeneous manifolds up to finite coverings. We give sufficient conditions under which the natural bundle for such a manifold is homotopically trivial. This triviality always holds in the case when the stationary subgroup is discrete.
V. Gorbatsevich
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Classification of Three-Dimensional Homogeneous Complex Manifolds
Progress in Mathematics, 1989Jörg Winkelmann, Winkelmann Jörg
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Closed Manifolds with Homogeneous Complex Structure
American Journal of Mathematics, 1954Hsien-chung Wang
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HOMOGENEOUS EINSTEIN METRICS ON COMPLEX STIEFEL MANIFOLDS AND SPECIAL UNITARY GROUPS
2017Andreas Arvanitoyeorgos, Marina Statha
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Geodesic orbit metrics in a class of homogeneous bundles over real and complex Stiefel manifolds
Geometriae Dedicata, 2021Geodesic orbit spaces (or g.o. spaces) are defined as those homogeneous Riemannian spaces (M=G/H,g)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs}
A. Arvanitoyeorgos +2 more
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