搜索结果: 1-13 共查到“数学 Kaehler”相关记录13条 . 查询时间(0.064 秒)
Vanishing theorems on (l|k)-strong Kaehler manifolds with torsion
Vanishing theorems (l|k)-strong Kaehler manifolds torsion
2012/3/1
We derive sufficient conditions for the vanishing of plurigenera, $p_m(J), m>0$, on compact (l|k)-strong, $\omega^l\wedge \partial\bar\partial \omega^k=0$, Kaehler manifolds with torsion. In particula...
On the stability of locally conformal Kaehler structures
locally conformally K¨ahler metrics non-K¨ahler surfaces deformation theory
2011/1/20
In this article we develop a new approach to the problem of the stability of locally conformally K¨ahler structures (l.c.k structures) under small deformations of complex structures and deformations o...
Kaehler and para-Kaehler curvature Weyl manifolds
Kaehler para-Kaehler curvature Weyl manifolds
2010/11/24
We show that the Weyl structure of an almost-Hermitian Weyl manifold of dimension at least 6 is trivial if the associated curvature operator satisfies the Kaehler identity. Similarly if the curvature...
Six-dimensional nearly Kaehler manifolds of cohomogeneity one (II)
Six-dimensional nearly Kaehler manifolds cohomogeneity
2010/11/24
Let M be a six dimensional manifold, endowed with a cohomogeneity one action of G= SU_2 x SU_2, and M_reg its subset of regular points. We show that M_reg admits a smooth, 2-parameter family of G-inv...
We give a simple proof of a result originally due to Dimca and Suciu: a group that is both Kaehler and the fundamental group of a closed three-manifold is finite. We also prove that a group that is bo...
Degeneration of Kaehler structures and half-form quantization of toric varieties
Kaehler structures half-form quantization
2010/11/19
We study the half-form Kaehler quantization of a smooth symplectic toric manifold $(X,\omega)$, such that $[\omega/2\pi]-c_{1}(X)/2 \in H^{2}(X,{\mathbb{Z}})$ and is nonnegative. We define the half-f...
Berezin-Toeplitz quantization on Kaehler manifolds
Berezin-Toeplitz quantization Kaehler manifolds
2010/12/10
We study the Berezin-Toeplitz quantization on K¨ahler manifolds. We explain first how to compute various associated asymptotic expansions, then we compute explicitly the first terms of the expansion o...
Kaehler immersions of homogeneous Kaehler manifolds into complex space forms
Kä hler metrics infinite dimensional complex space forms
2010/12/9
In this paper we study the homogeneous Kähler manifolds (h.K.m.) which can be Kähler immersed into finite or infinite dimensional complex space forms. On one hand we completely classify the
...
Quaternionic Kaehler and Spin(7) metrics arising from quaternionic contact Einstein structures
quaternionic contact structures Einstein structures qc conformal flatness
2010/12/6
We construct left invariant quaternionic contact (qc) structures on Lie groups with zero and
non-zero torsion and with non-vanishing quaternionic contact conformal curvature tensor, thus showing the ...
Slant submanifolds of Kaehler Product Manifolds
Slant Submanifold Kaehler Manifold Ricci tensor
2010/2/26
In this paper, we study slant submanifolds of a Kaehler product manifold. We show that an F-invariant slant submanifold of Kaehler product manifold is a product manifold. We also obtain some curvature...
关于极小和Kaehler子流形的特征值不等式
2007/12/12
本文利用A.Ros的想法,给出了球面中紧致极小子流形的Laplacian特征值的某些新不等式,它们只与子流形的内蕴几何量有关.对于复射影空间的紧致Kaehler子流形,也有类似的结果.
Semi-Slant Submanifolds of a Nearly Kaehler Manifold
Slant Semi-slant totally umbilical totally geodesic
2010/2/26
The aim in the present paper is to study some basic geometric properties of semi-slant submanifolds of a nearly Kaehler manifold.
Vanshing Theorems for Quaternionic Kaehler Manifolds
Vanshing Theorems Quaternionic Kaehler Manifolds
2010/10/29
We discuss a peculiar interplay between the representation theory of the holonomy group of a Riemannian manifold, the Weitzenboeck formula for the Hodge-Laplace operator on forms and the Lichnerowicz...