Sectional curvatures of ruled real hypersurfaces in a complex hyperbolic spaceprimary, 53B25secondary, 53C40A ruled real hypersurface in a nonflat complex space form of constant holomorphic sectional curvature is, in a word, a real hypersurface having a foliation by totally geodesic complex ...
2) holomorphic sectional curvature 全纯截面曲率3) holomorphic curvature 全纯曲率 1. Moreover F_εis strongly K(?)hler-Finsler whenα,βare K(?)hler metrics and also we obtain the explicit formula of its holomorphic curvature. 设(M_1,α),(M_2,β)均为Hermitian流形,本文证明了积流形M...
Hyperbolic spaceIn this article, we will use inverse mean curvature flow to establish an optimal Sobolev-type inequality for hypersurfaces [equation] with nonnegative sectional curvature in [equation]. As an...doi:10.1007/s00526-019-1488-1Hu, Yingxiang...
As an application, we prove the hyperbolic Alexandrov-Fenchel inequalities for hypersurfaces with nonnegative sectional curvature in Hn: where pi is the normalized i-th mean curvature. Equality holds if and only if sigma is a geodesic sphere in Hn. For a domain with sigma= having nonnegative ...
We study holomorphic immersions : from a complex manifold into a Khler manifold of constant holomorphic sectional curvature , i.e. a complex hyperbolic space form, a complex Euclidean space form, or the complex projective space equipped with the Fubini-Study metric. For compact we show that ...
rank-one hyperbolicFix a number g > 1, let S be a close surface of genus g, and let Teich(S) be the Teichmüller space of S endowed with the Weil-Petersson metric. In this paper we show that the Riemannian sectional curvature operator of Teich(S) is non-positive definite. As an ...
dimensional complete open Riemannian manifold M with sectional curvature KM ≥ −1 is diffeomorphic to a Euclidean n-space Rn if the volume growth of geodesic balls in M is close to that of the balls in an n-dimensional hyperbolic space Hn(−1) of sectional curvature −1.[ FROM ...
Hyperbolic spaceIn this paper, we consider the conformal type (parabolicity or non-parabolicity) of complete ends of revolution immersed in simply connected space forms of constant sectional curvature. We show that any complete end of revolution in the 3-dimensional Euclidean space or in a 3-...
第三类超Cartan域的完备Einstein-K hler度量及其全纯截曲率 The complete Einstein-K hler metric and the holomorphic sectional curvature on Cartan-Hartogs domain of the th...
Complex hyperbolic spaceHomotopyThe main purpose of this paper is to highlight some striking features of the relationship between homology groups and compact warped product submanifolds geometry with negative constant sectional curvature that follows from Lawson and Simons (1973). Using the result of Fu...