Stable harmonic maps between Finsler manifolds and Riemannian manifolds with positive Ricci curvature
Volume 99 / 2010
Annales Polonici Mathematici 99 (2010), 67-77
MSC: 53C60, 58E20, 53B40.
DOI: 10.4064/ap99-1-6
Abstract
We study the stability of harmonic maps between Finsler manifolds and Riemannian manifolds with positive Ricci curvature, and we prove that if $M^n$ is a compact Einstein Riemannian minimal submanifold of a Riemannian unit sphere with Ricci curvature satisfying ${\rm Ric}^M>{n}/{2}$, then there is no non-degenerate stable harmonic map between $M$ and any compact Finsler manifold.
