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

Jintang Li. "Stable harmonic maps between Finsler manifolds and Riemannian manifolds with positive Ricci curvature." Annales Polonici Mathematici 99.1 (2010): 67-77. <http://eudml.org/doc/280947>.

@article{JintangLi2010,
abstract = {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.},
author = {Jintang Li},
journal = {Annales Polonici Mathematici},
keywords = {harmonic maps; Finsler manifolds; stability},
language = {eng},
number = {1},
pages = {67-77},
title = {Stable harmonic maps between Finsler manifolds and Riemannian manifolds with positive Ricci curvature},
url = {http://eudml.org/doc/280947},
volume = {99},
year = {2010},
}

TY - JOUR
AU - Jintang Li
TI - Stable harmonic maps between Finsler manifolds and Riemannian manifolds with positive Ricci curvature
JO - Annales Polonici Mathematici
PY - 2010
VL - 99
IS - 1
SP - 67
EP - 77
AB - 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.
LA - eng
KW - harmonic maps; Finsler manifolds; stability
UR - http://eudml.org/doc/280947
ER -