The Energy Density Gap of Harmonic Maps between Finsler Manifolds | Zendy

Jingwei Han | Zendy; Yao-yong Yu | Zendy; J. S. Yu | Zendy

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The Energy Density Gap of Harmonic Maps between Finsler Manifolds

Author(s) -

Jingwei Han,

Yao-yong Yu,

J. S. Yu

Publication year - 2011

Publication title -

isrn geometry

Language(s) - English

Resource type - Journals

eISSN - 2090-6315

pISSN - 2090-6307

DOI - 10.5402/2011/374672

Subject(s) - rigidity (electromagnetism) , manifold (fluid mechanics) , harmonic map , finsler manifold , mathematics , mathematical analysis , function (biology) , energy (signal processing) , energy density , pure mathematics , physics , geometry , quantum mechanics , theoretical physics , ricci curvature , mechanical engineering , statistics , curvature , evolutionary biology , biology , engineering

We study the energy density function of nondegenerate smooth maps with vanishing tension field between two real Finsler manifolds. Firstly, we get a variation formula of energy density function by using moving frame. With this formula, we obtain a rigidity theorem of nondegenerate map with vanishing tension field from the Finsler manifold to the Berwald manifold.

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