Isometries, submetries and distance coordinates on Finsler manifolds
arXiv:1406.5331
Abstract
This paper considers fundamental issues related to Finslerian isometries, submetries, distance and geodesics. It is shown that at each point of a Finsler manifold there is a distance coordinate system. Using distance coordinates, a simple proof is given for the Finslerian version of the Myers-Steenrod theorem and for the differentiability of Finslerian submetries.
arXiv commentThis is not the final published version of the paper. Final version is available at http://dx.doi.org/10.1007/s10474-013-0381-1