极小子流形与调和映射的稳定性  

Stability of Minimal Submanifold and Harmonic Maps

作　　者：王文涛[1] 

机构地区：[1]沈阳工业大学基础部

出　　处：《沈阳工业大学学报》1989年第1期111-120,共10页Journal of Shenyang University of Technology

摘　　要：在本文中,我们利用活动标架法研究了极小子流形与调和映射的稳定性。从而得到了一些关于拟常曲率流形不存在任何稳定极小浸入的充分条件,同时也得到了一个关于球面的子流形不存在从这个流形到任何黎曼流形的任何非常值稳定调和映射的充分条件。In this paper, stabilities of minimal submanifolds and harmonic maps were studied by means of the method of moving frame. Some sufficient conditions for the manifold of quasi -constant curvature to be no any stable minimal immersion into this manifold were obtained, and the sufficient condition for the submanifold of a sphere to be no any stable harmonic maps from this manifold to any Riemannian manifolds were also obtained.

关 键 词：调和映射 极小子流形 射影微分几何 

分 类 号：O186.13[理学—数学]