Results 221 to 230 of about 111,612 (248)

On finitely nondegenerate closed homogeneous CR manifolds

Annali di Matematica Pura ed Applicata, 2022
A complex flag manifold F=G/Q\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin ...
S. Marini, C. Medori, M. Nacinovich
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The preservation of convexity by geodesics in the space of Kähler potentials on complex affine manifolds

Mathematische Annalen, 2022
In the space of Kähler potentials, geodesic equations are homogeneous complex Monge–Ampère equations; the boundary value problems always have weak \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage ...
Jingchen Hu
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On Complex Homogeneous Manifolds

Canadian Mathematical Bulletin, 1967
Compact complex homogeneous manifolds have been studied in great detail by Borel, Goto, Remmert and Wang (cf., (13)): it was shown that every compact, connected complex homogeneous manifold M is a holomorphic fiber bundle over a projective algebraic homogeneous manifold B with a connected, complex parallelizable fiber F.
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Action-Angle and Complex Coordinates on Toric Manifolds

Association for Women in Mathematics Series, 2021
In this article, we provide an exposition about symplectic toric manifolds, which are symplectic manifolds (M, ω) equipped with an effective Hamiltonian T = (S)-action.
Haniya Azam, Catherine Cannizzo, Heather Lee   +2 more
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Compact, Connected, Complex Manifolds That Admit a Compact Transitive Group of Holomorphic Automorphisms

Acta Mathematica Sinica. English series
The purpose of this paper is to develop a Lie algebraic approach to obtain new proofs of important results of H.-C. Wang, Tits and Wolf-Wang-Ziller on compact complex homogeneous manifolds emphasizing only those that admit a transitive compact group of ...
Lei Ni, N. Wallach
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COMPLEX AND PARACOMPLEX STRUCTURES ON HOMOGENEOUS PSEUDO-RIEMANNIAN FOUR-MANIFOLDS

International Journal of Mathematics, 2013
We completely classify invariant Hermitian and Kähler structures, together with their paracomplex analogues, on four-dimensional homogeneous pseudo-Riemannian manifolds with nontrivial isotropy subalgebra.
CALVARUSO, Giovanni, ANNA FINO
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Levi problem in complex manifolds

, 2016
Let U be a pseudoconvex open set in a complex manifold M. When is U a Stein manifold? There are classical counter examples due to Grauert, even when U has real-analytic boundary or has strictly pseudoconvex points.
N. Sibony
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Compact complex homogeneous manifolds with large automorphism groups

Inventiones Mathematicae, 1998
Let \(X\) be a compact complex homogeneous manifold and let \(\Aut(X)\) be the complex Lie group of holomorphic automorphisms of \(X\). It is well-known that the dimension of \(\Aut(X)\) is bounded by an integer that depends only on \(n= \dim X\). Moreover, if \(X\) is Kähler then \(\dim\Aut(X)\leq n(n+2)\) with equality only when \(X\) is complex ...
Snow, Dennis M., Winkelmann, Jörg
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On the nonexistence of S6 type complex threefolds in any compact homogeneous complex manifolds with the compact lie group G2 as the base manifold

Pacific Journal of Mathematics, 2020
D. Guan
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Invariant Finsler metrics on homogeneous manifolds: II. Complex structures

Journal of Physics A: Mathematical and General, 2006
In this paper, we study homogeneous complex Finsler spaces. We first prove that each homogeneous complex Finsler space can be written as a coset space of a Lie group with an invariant complex structure as well as an invariant complex Finsler metric.
Shaoqiang Deng, Zixin Hou
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