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Isometries, submetries and distance coordinates on Finsler manifolds

Aradi, Bernadett and Kertész, Dávid Csaba (2014) Isometries, submetries and distance coordinates on Finsler manifolds. ACTA MATHEMATICA HUNGARICA, 143 (2). pp. 337-350. ISSN 0236-5294

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Abstract

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

Item Type: Article
Uncontrolled Keywords: Finsler manifold, distance, geodesic, isometry, submetry, Rapcsak equations
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 06 Feb 2014 14:16
Last Modified: 13 May 2016 08:04
URI: http://real.mtak.hu/id/eprint/9970

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