Harmonic Coordinates for the Nonlinear Finsler Laplacian and Some Regularity Results for Berwald Metrics

We prove existence of harmonic coordinates for the nonlinear Laplacian of a Finsler manifold and apply them in a proof of the Myers−Steenrod theorem for Finsler manifolds. Different from the Riemannian case, these coordinates are not suitable for studying optimal regularity of the fundamen...

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Bibliographic Details
Main Authors: Erasmo Caponio, Antonio Masiello
Format: Article
Language:English
Published: MDPI AG 2019-07-01
Series:Axioms
Subjects:
Online Access:https://www.mdpi.com/2075-1680/8/3/83