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research article

The Myers-Steenrod Theorem For Finsler Manifolds Of Low Regularity

Matveev, Vladimir S.
•
Troyanov, Marc  
2017
Proceedings Of The American Mathematical Society

We prove a version of Myers-Steenrod's theorem for Finsler manifolds under the minimal regularity hypothesis. In particular we show that an isometry between C-k,C-alpha-smooth (or partially smooth) Finsler metrics, with k + alpha > 0, k is an element of N boolean OR {0}, and 0 <= alpha <= 1 is necessarily a diffeomorphism of class C-k+1,C-alpha. A generalization of this result to the case of Finsler 1-quasiconformal mapping is given. The proofs are based on the reduction of the Finslerian problems to Riemannian ones with the help of the Binet-Legendre metric.

  • Details
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Type
research article
DOI
10.1090/proc/13407
Web of Science ID

WOS:000398833500034

Author(s)
Matveev, Vladimir S.
Troyanov, Marc  
Date Issued

2017

Publisher

Amer Mathematical Soc

Published in
Proceedings Of The American Mathematical Society
Volume

145

Issue

6

Start page

2699

End page

2712

Subjects

Finsler metric

•

isometries

•

Myers-Steenrod theorem

•

Binet-Legendre metric

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
GR-TR  
Available on Infoscience
May 30, 2017
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/137871
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