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arXiv · 1406.5331

Isometries, submetries and distance coordinates on Finsler manifolds

Bernadett Aradi·David Csaba Kertesz
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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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Bernadett Aradi, David Csaba Kertesz. 2014-06-20. Isometries, submetries and distance coordinates on Finsler manifolds. https://arxiv.org/abs/1406.5331

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