Zermelo deformation of Finsler metrics by Killing vector fields
Differential Geometry
2018-04-13 v1 Dynamical Systems
Abstract
We show how geodesics, Jacobi vector fields and flag curvature of a Finsler metric behave under Zermelo deformation with respect to a Killing vector field. We also show that Zermelo deformation with respect to a Killing vector field of a locally symmetric Finsler metric is also locally symmetric.
Keywords
Cite
@article{arxiv.1710.01281,
title = {Zermelo deformation of Finsler metrics by Killing vector fields},
author = {Patrick Foulon and Vladimir S. Matveev},
journal= {arXiv preprint arXiv:1710.01281},
year = {2018}
}