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MiS Preprint
68/2014

A maximum principle for generalizations of harmonic maps in Hermitian, affine, Weyl, and Finsler geometry

Qun Chen, Jürgen Jost and Guofang Wang

Abstract

In this note we prove that the maximum principle of Jäger-Kaul for harmonic maps holds for a more general class of maps, $V$-harmonic maps. This includes Hermitian harmonic maps [JY], Weyl harmonic maps [Kokarev], affine harmonic maps [JS] and Finsler maps from a Finsler manifold into a Riemannian manifold. With this maximum principle we establish the existence of $V$-harmonic maps into regular balls.

Received:
16.07.2014
Published:
16.07.2014
MSC Codes:
58J05, 53C43, 35J47
Keywords:
V-harmonic map, maximum principle, uniqueness, existence

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inJournal
2015 Repository Open Access
Qun Chen, Jürgen Jost and Guofang Wang

A maximum principle for generalizations of harmonic maps in Hermitian, affine, Weyl, and Finsler geometry

In: The journal of geometric analysis, 25 (2015) 4, pp. 2407-2426