Stable P-harmonic maps between Finsler manifolds

Li Jintang

Vol. 237 (2008), No. 1, 121–135

DOI: 10.2140/pjm.2008.237.121

Abstract

We derive the first and second variation formulas for P-harmonic maps between Finsler manifolds, and we prove that there is no nondegenerate stable P-harmonic map between a Riemannian unit sphere Sⁿ for n > P ≥ 2 and any compact Finsler manifold.

Keywords

Finsler manifold, P-harmonic map, stability, variation formula

Mathematical Subject Classification 2000

Primary: 53C60, 58E20

Secondary: 53B40, 53C43

Milestones

Received: 11 September 2007

Revised: 21 January 2008

Accepted: 9 April 2008

Published: 1 September 2008