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research article
The Myers-Steenrod Theorem For Finsler Manifolds Of Low Regularity
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.
Type
research article
Web of Science ID
WOS:000398833500034
Authors
Publication date
2017
Publisher
Published in
Volume
145
Issue
6
Start page
2699
End page
2712
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
May 30, 2017
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