Abstract

We study harmonic maps on Finsler surfaces. Using Berwald frames on Finsler surfaces, we prove conformal invariance for the energy of Finsler harmonic maps. As an application, we show that weakly harmonic maps from a Finsler surface to a sphere S n are in fact smooth by establishing a new Jacobi structure, generalizing the regularity result previously known for the case of a harmonic map from a Riemannian surface.

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