Let ϕ :(M,F)→ (N,h) be a harmonic map from a Finsler manifold to any Riemannian manifold. We establish Bochner's formula for the energy density of ϕ and maximum principle on Finsler manifolds, from which we deduce some properties of harmonic maps ϕ.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm113-2-2, author = {Jintang Li}, title = {Bochner's formula for harmonic maps from Finsler manifolds}, journal = {Colloquium Mathematicae}, volume = {111}, year = {2008}, pages = {185-190}, zbl = {1152.53062}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm113-2-2} }
Jintang Li. Bochner's formula for harmonic maps from Finsler manifolds. Colloquium Mathematicae, Tome 111 (2008) pp. 185-190. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm113-2-2/