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 |
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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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