Isometries, submetries and distance coordinates on Finsler manifolds

2014/06/20 by Aradi, Bernadett, Kertesz, David Csaba · 1 citation
#53B40 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1406.5331

Abstract

This paper considers fundamental issues related to Finslerian isometries, submetries, distance and geodesics. It is shown that at each point of a Finsler manifold there is a distance coordinate system. Using distance coordinates, a simple proof is given for the Finslerian version of the Myers-Steenrod theorem and for the differentiability of Finslerian submetries.

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• Universal non-CD of sub-Riemannian manifolds

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