Stable harmonic maps between Finsler manifolds and Riemannian manifolds with positive Ricci curvature

• Autorzy: Jintang Li
• Języki publikacji: EN

Abstrakty

EN

We study the stability of harmonic maps between Finsler manifolds and Riemannian manifolds with positive Ricci curvature, and we prove that if Mⁿ is a compact Einstein Riemannian minimal submanifold of a Riemannian unit sphere with Ricci curvature satisfying $Ric^M > n/2$, then there is no non-degenerate stable harmonic map between M and any compact Finsler manifold.

Kategorie tematyczne

• 53B40: Finsler spaces and generalizations (areal metrics)
• 58E20: Harmonic maps , etc.
• 53C60: Finsler spaces and generalizations (areal metrics)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2010
• Tom: 99
• Numer: 1
• Strony: 67-77

Daty

wydano

2010

Twórcy

autor

Jintang Li

• Department of Mathematics, Xiamen University, 361005 Xiamen, Fujian, China

Identyfikatory

DOI

10.4064/ap99-1-6