The energy density gap of harmonic maps between Finsler manifolds
type: Item
instance of: scholarly article
title: The energy density gap of harmonic maps between Finsler manifolds
zbMATH Open document ID: 1226.53063
DOI: 10.5402/2011/374672
author: Jingwei Han
author: Yao-Yong Yu
author: Jing Yu
published in: ISRN Geometry
publication date: 2011-10-28T00:00:00Z
review text: Summary: 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 the energy density function by using a moving frame. With this formula, we obtain a rigidity theorem for nondegenerate maps with vanishing tension field from a Finsler manifold to a Berwald manifold.
Mathematics Subject Classification ID: 53C43
Mathematics Subject Classification ID: 53C60
zbMATH DE Number: 5964878
zbMATH Keywords: tension field
zbMATH Keywords: variation formula
zbMATH Keywords: rigidity theorem
zbMATH Keywords: Berwald manifold
Wikidata QID: Q58689286
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.5402/2011/374672
OpenAlex ID: W2009034247
cites work: SOME RESULTS ON HARMONIC MAPS FOR FINSLER MANIFOLDS
cites work: Q5436532
cites work: Harmonic maps from Finsler manifolds
cites work: The existence of harmonic maps from Finsler manifolds to Riemannian manifolds
cites work: Harmonic maps from complex Finsler manifolds
cites work: Harmonic maps and the topology of stable hypersurfaces and manifolds with non-negative Ricci curvature
cites work: Harmonic Maps of small Energy
cites work: Q3063526
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description: scientific article; zbMATH DE number 5964878