Stable ℱ-harmonic maps between Finsler manifolds

被引:0
作者
Jin Tang Li
机构
[1] Xiamen University,Department of Mathematics
来源
Acta Mathematica Sinica, English Series | 2010年 / 26卷
关键词
-harmonic maps; Finsler manifolds; stability; 53C60; 53B40; 58E20;
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中图分类号
学科分类号
摘要
In this paper, we derive the first and second variation formulas for ℱ-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.
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页码:885 / 900
页数:15
相关论文
共 6 条
[1]  
He Q.(2005)Some results on harmonic maps for Finsler manifolds Intern. J. Math. 16 1017-1031
[2]  
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[3]  
Shen Y. B.(2001)Harmonic maps from Finsler manifolds Illinois J. Math. 45 1331-1345
[4]  
Zhang Y.(1980)Some results on stable harmonic maps Duke Math. J. 47 609-613
[5]  
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