Table of Contents
ISRN Geometry
Volume 2011 (2011), Article ID 374672, 12 pages
http://dx.doi.org/10.5402/2011/374672
Research Article

The Energy Density Gap of Harmonic Maps between Finsler Manifolds

School of Science, Hangzhou Dianzi University, Hangzhou, 310018, China

Received 13 April 2011; Accepted 24 May 2011

Academic Editors: D. Danielli and S. Kar

Copyright © 2011 Jingwei Han et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

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.