Bochner's formula for harmonic maps from Finsler manifolds
Volume 113 / 2008
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 $.
