Stable P-Harmonic Maps Between Finsler Manifolds  

作　　者：Jin Tang LI 

机构地区：[1]Department of Mathematics, Xiamen University, Xiamen 361005, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2010年第5期885-900,共16页数学学报（英文版）

基　　金：Supported by National Natural Science Foundation of China (Grant No. 10971170)

摘　　要：In this paper, we derive the first and second variation formulas for JC-harmonic maps between Finsler manifolds, and when F″≤ 0 and n ≥ 3, we prove that there is no nondegenerate stable F-harmonic map between a Riemannian unit sphere Sn and any compact Finsler manifold.In this paper, we derive the first and second variation formulas for JC-harmonic maps between Finsler manifolds, and when F″≤ 0 and n ≥ 3, we prove that there is no nondegenerate stable F-harmonic map between a Riemannian unit sphere Sn and any compact Finsler manifold.

关 键 词：F-harmonic maps Finsler manifolds STABILITY 

分 类 号：O186.14[理学—数学] O186.16[理学—基础数学]