Stable harmonic maps between Finsler manifolds and Riemannian manifolds with positive Ricci curvature

被引：1

作者：

Li, Jintang ^{[1
]}

机构：

[1] Xiamen Univ, Dept Math, Xiamen 361005, Fujian, Peoples R China

来源：

ANNALES POLONICI MATHEMATICI | 2010年 / 99卷 / 01期

关键词：

harmonic maps; Finsler manifolds; stability;

D O I：

10.4064/ap99-1-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the stability of harmonic maps between Finsler manifolds and Riemannian manifolds with positive Ricci curvature, and we prove that if M-n is a compact Einstein Riemannian minimal submanifold of a Riemannian unit sphere with Ricci curvature satisfying Ric(M) > n/2, then there is no non-degenerate stable harmonic map between M and any compact Finsler manifold.

引用

页码：67 / 77

页数：11

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