Geodesic
Stable harmonic maps between Finsler manifolds and Riemannian manifolds with positive Ricci curvature
Jintang Li1
1 Department of Mathematics Xiamen University 361005 Xiamen, Fujian, China
Annales Polonici Mathematici, Tome 99 (2010) no. 1, pp. 67-77

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ap99-1-6
Keywords: study stability harmonic maps between finsler manifolds riemannian manifolds positive ricci curvature prove compact einstein riemannian minimal submanifold riemannian unit sphere ricci curvature satisfying ric there non degenerate stable harmonic map between compact finsler manifold

Jintang Li 1

1 Department of Mathematics Xiamen University 361005 Xiamen, Fujian, China 
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Jintang Li. Stable harmonic maps
 between Finsler manifolds and Riemannian manifolds
 with positive Ricci curvature. Annales Polonici Mathematici, Tome 99 (2010) no. 1, pp. 67-77. doi: 10.4064/ap99-1-6

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