The Energy Density Gap of Harmonic Maps between Finsler Manifolds. (1st August 2011)

• Record Type: Journal Article
• Authors: Han, Jingwei; Yu, Yao-yong; Yu, Jing
• Other Names: Danielli D. Academic Editor.; Kar S. Academic Editor.
• Is Part Of: ISRN geometry. Volume 2011(2011)
• Publication Date: 2011-08-01
• Subjects: Geometry -- Periodicals; Topology -- Periodicals; Geometry; Topology; Periodicals; 516
• DOI: 10.5402/2011/374672
• Languages: English
• ISSNs: 2090-6307

Abstract

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.