Second variation of harmonic maps between Finsler manifolds
Second variation of harmonic maps between Finsler manifolds作者机构:Department of Mathematics Zhejiang University Hangzhou 310028 China Department of Mathematics Zhejiang University Hangzhou 310028 China
出 版 物:《Science China Mathematics》 (中国科学:数学(英文版))
年 卷 期:2004年第47卷第1期
页 面:39-51页
核心收录:
学科分类:07[理学] 0701[理学-数学] 070101[理学-基础数学]
基 金:This work was supported by the National Natural Science Foundation of China(Grant No.10271106)
主 题:Finsler manifold, harmonic map, second variation.
摘 要:The first and second variation formulas of the energy functional for a nondegenerate map between Finsler manifolds is derived. As an application, some nonexistence theorems of nonconstant stable harmonic maps from a Finsler manifold to a Riemannian manifold are given.