Bochner's formula for harmonic maps from Finsler manifolds

Jintang Li

Bochner's formula for harmonic maps from Finsler manifolds

Jintang Li

Colloquium Mathematicae (2008)

Volume: 113, Issue: 2, page 185-190
ISSN: 0010-1354

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Abstract

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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.

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Jintang Li. "Bochner's formula for harmonic maps from Finsler manifolds." Colloquium Mathematicae 113.2 (2008): 185-190. <http://eudml.org/doc/283459>.

@article{JintangLi2008,
abstract = {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.},
author = {Jintang Li},
journal = {Colloquium Mathematicae},
keywords = {Finsler manifold; harmonic map; maximum principle; Bochner's formula; energy density; totally geodesic (map)},
language = {eng},
number = {2},
pages = {185-190},
title = {Bochner's formula for harmonic maps from Finsler manifolds},
url = {http://eudml.org/doc/283459},
volume = {113},
year = {2008},
}

TY - JOUR
AU - Jintang Li
TI - Bochner's formula for harmonic maps from Finsler manifolds
JO - Colloquium Mathematicae
PY - 2008
VL - 113
IS - 2
SP - 185
EP - 190
AB - 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.
LA - eng
KW - Finsler manifold; harmonic map; maximum principle; Bochner's formula; energy density; totally geodesic (map)
UR - http://eudml.org/doc/283459
ER -

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