Results 221 to 230 of about 59,234 (245)

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.
G. Calvaruso, FINO, Anna Maria
openaire   +2 more sources

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
openaire   +1 more source

On the homotopy structure of compact complex homogeneous manifolds

Izvestiya: Mathematics, 2016
We 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.
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Homology Invariants of Homogeneous Complex Manifolds

1998
A 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.
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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
openaire   +1 more source

Strongly pseudoconvex homogeneous domains in almost complex manifolds

Journal für die reine und angewandte Mathematik (Crelles Journal), 2008
Let \((M,J)\) be an almost complex manifold. A biholomorphism of \(M\) is a smooth map \(f: M \rightarrow M\) such that \(J \circ df = df \circ J\). If \(\rho\) is a \(C^2\) function on \(M\) its \(J\)-Levi form is defined as \( \mathcal{L} ^J \rho (v) = - d (J^*d\rho) (v, Jv)\). If \(\Omega \subset M\) is a domain, we say that \(p\in \partial \Omega\)
openaire   +1 more source

Complex homogeneous forms on loop spaces of smooth manifolds and their cohomology groups

Russian Mathematical Surveys, 1996
The author announces a result on the cohomology of complexes of homogeneous forms of order 1 on the loop space of a smooth manifold.
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Families of smooth hypersurfaces on certain compact homogeneous complex manifolds

Mathematical Proceedings of the Cambridge Philosophical Society, 1983
Let 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 ...
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Non-homogeneous Kähler-Einstein metrics on compact complex manifolds

1986
On donne des exemples de varietes de Kahler-Einstein compactes non homogenes. En particulier on considere des varietes de Kahler-Einstein compactes presque homogenes a ensemble exceptionnel ...
Norihito Koiso, Yusuke Sakane
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Compact homogeneous Leviflat CR-manifolds

Complex Analysis and Its Synergies, 2021
B Gilligan
exaly