Bochner's formula for harmonic maps from Finsler manifolds

Volume 113 / 2008

Jintang Li Colloquium Mathematicum 113 (2008), 185-190 MSC: 53C60, 53B20, 54E40. DOI: 10.4064/cm113-2-2

Abstract

Let $\phi :(M,F)\rightarrow (N,h)$ be a harmonic map from a Finsler manifold to any Riemannian manifold. We establish Bochner's formula for the energy density of $\phi $ and maximum principle on Finsler manifolds, from which we deduce some properties of harmonic maps $\phi $.

Authors

  • Jintang LiDepartment of Mathematics
    Xiamen University
    361005 Xiamen, Fujian, China
    e-mail

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