Some properties of harmonic maps for Finsler manifolds

• Autores: Qun He, Yibing Shen
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 33, Nº 3, 2007, págs. 683-699
• Idioma: inglés
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• Resumen

  • This paper is to study further some properties of harmonic maps between Finsler manifolds. Some rigidity theorems for harmonic maps between Finsler manifolds are given. By introducing the stress-energy tensor of maps between Finsler manifolds, some integral formulas are obtained. Moreover, it is proved that any conformal strongly harmonic map from an n(>2)-dimensional Finsler manifold to a Finsler manifold must be homothetic.