We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
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.
