Matveev, Vladimir S.Troyanov, Marc2017-05-302017-05-302017-05-30201710.1090/proc/13407https://infoscience.epfl.ch/handle/20.500.14299/137871WOS:000398833500034We 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.Finsler metricisometriesMyers-Steenrod theoremBinet-Legendre metrictext::journal::journal article::research article