Second variation of harmonic maps between Finsler manifolds 被引量：10

Second variation of harmonic maps between Finsler manifolds

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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. 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.

作者 SHEN Yibing ZHANG Yan

机构地区 Department of Mathematics

出处《Science China Mathematics》 SCIE 2004年第1期39-51,共13页 中国科学：数学（英文版）

基金 This work was supported by the National Natural Science Foundation of China(Grant No.10271106).

关键词 FINSLER manifold HARMONIC map SECOND variation. Finsler manifold harmonic map second variation

分类号 O1 [理学—基础数学]

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参考文献4

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同被引文献18

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引证文献10

1贺群,沈一兵.关于Finsler子流形的平均曲率[J].数学年刊（A辑）,2006,27(5):663-674. 被引量：2
2Jin Tang LI.Stable P-Harmonic Maps Between Finsler Manifolds[J].Acta Mathematica Sinica,English Series,2010,26(5):885-900.
3贺群,苗玲.Finsler流形的强极小子流形[J].同济大学学报（自然科学版）,2010,38(5):762-765.
4ZHU Wei.Some results on P-harmonic maps and exponentially harmonic maps between Finsler manifolds[J].Applied Mathematics(A Journal of Chinese Universities),2010,25(2):236-242.
5SHEN YiBing,ZHAO Wei.On fundamental groups of Finsler manifolds In memory of the centenary birthday of Professor S.S.Chern[J].Science China Mathematics,2011,54(9):1951-1964. 被引量：4
6朱微.Finsler流形间调和映射的一个刚性定理[J].高校应用数学学报（A辑）,2011,26(3):335-342.
7贺群,吴方方.Finsler流形上取值于向量丛的调和形式[J].同济大学学报（自然科学版）,2012,40(3):491-494.
8赵亮.从Finsler曲面出发的弱调和映射的正则性[J].北京师范大学学报（自然科学版）,2012,48(3):241-243.
9Wei ZHU.On the Regularity Theories for Harmonic Maps from Finsler Manifolds[J].Chinese Annals of Mathematics,Series B,2012,33(4):595-600.
10肖金秀,贺群,陈志华,邱春晖.复Finsler流形间的调和映射[J].同济大学学报（自然科学版）,2012,40(10):1569-1572.

二级引证文献6

1SUN Peng.Exponential decay of expansive constants[J].Science China Mathematics,2013,56(10):2063-2067. 被引量：1
2沈一兵,赵唯.关于Finsler流形的曲率与基本群[J].中国科学：数学,2018,48(6):807-818.
3Fei Liu,Fang Wang,Weisheng Wu.The topological entropy for autonomous Lagrangian systems on compact manifolds whose fundamental groups have exponential growth[J].Science China Mathematics,2020,63(7):1323-1338.
4Peilong DONG,Shan LIU.Minimal Rotational Hypersurfaces in Some Non-flat Randers Spaces[J].Journal of Mathematical Research with Applications,2020,40(6):617-627.
5赵唯,张福娥.Finsler几何中的Gromov-Hausdorff理论[J].中国科学：数学,2024,54(10):1751-1770.
6晏文.一类Finsler子流形的研究[J].理论数学,2021,11(6):1020-1030.

1Wei ZHU.On the Regularity Theories for Harmonic Maps from Finsler Manifolds[J].Chinese Annals of Mathematics,Series B,2012,33(4):595-600.
2Jin Tang LI.Stable P-Harmonic Maps Between Finsler Manifolds[J].Acta Mathematica Sinica,English Series,2010,26(5):885-900.
3肖金秀,钟同德,邱春晖.BOCHNER TECHNIQUE ON STRONG KHLER-FINSLER MANIFOLDS[J].Acta Mathematica Scientia,2010,30(1):89-106. 被引量：2
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6YIN SongTing,HE Qun.The first eigenfunctions and eigenvalue of the p-Laplacian on Finsler manifolds[J].Science China Mathematics,2016,59(9):1769-1794. 被引量：1
7Songting YIN,Qun HE.Eigenvalue Comparison Theorems on Finsler Manifolds[J].Chinese Annals of Mathematics,Series B,2015,36(1):31-44. 被引量：1
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9ZHAO Wei.A Gauss-Bonnet-Chern theorem for complex Finsler manifolds[J].Science China Mathematics,2016,59(3):515-530.
10ZHU Wei.Some results on P-harmonic maps and exponentially harmonic maps between Finsler manifolds[J].Applied Mathematics(A Journal of Chinese Universities),2010,25(2):236-242.

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Second variation of harmonic maps between Finsler manifolds 被引量：10

参考文献4

同被引文献18

引证文献10

二级引证文献6

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