Isometries,submetries and distance coordinates on Finsler manifolds |
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| Authors: | Bernadett Aradi Dávid Csaba Kertész |
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| Institution: | 1. MTA-DE Research Group “Equations, Functions and Curves”, Hungarian Academy of Sciences, Budapest, Hungary
2. Institute of Mathematics, University of Debrecen, H-4010, Debrecen, P.O. Box 12, Hungary
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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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