Sacks-Uhlenbeck α−harmonic maps from Finsler manifolds

Document Type : Original Article

Authors

1 Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran

2 Department of Mathematics, Faculty of Basic Sciences, University of Bojnord, Bojnord, Iran

Abstract

In this paper, we study the stability of Sacks-Uhlenbeck α−harmonic maps from a Finsler manifold to a Riemannian manifold and its applications. Then we find conditions under which any non-constant α−harmonic maps from a compact Finsler manifold to a standard unit sphere Sn(n > 2) is unstable.

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