伪黎曼流形

本文研究了局部对称伪黎曼流形中的子流形，全文分为两章。

In this thesis , we study the submanifolds in locally pseudo-Riemannian manifold .

伪黎曼流形的调和映射与极小浸入

Harmonic Maps and Minimal Immersions in Pseudo-Riemannian Manifold

一般伪黎曼流形中的极大类空子流形

Maximal spacelike submanifolds in a pseudo-Riemannian spaces

局部对称伪黎曼流形中的子流形

Submanifolds in Locally Symmetric Pseudo-Riemannian Manifold

研究局部对称伪黎曼流形中的紧致伪脐类空子流形，得到了这类空子流形的一个积分不等式，将局部对称空间的相关结果推广到伪黎曼流形。

An integral inequality for the compact space-like submanifolds with pseudo-umbilics in locally symmetric pseudo-Riemannian manifolds is presented , and the conclusions resulting from locally symmetric spaces are extended to pseudo-Riemannian manifolds .

伪黎曼空间型中子流形几何的若干问题

Some Problems on Geometry of Submanifolds in Pseudo-Riemannian Space Forms