Every Lipschitz metric has $C^1$-geodesics
Differential Geometry
2014-02-24 v2 General Relativity and Quantum Cosmology
Abstract
We prove that the geodesic equation for any semi-Riemannian metric of regularity possesses -solutions in the sense of Filippov.
Cite
@article{arxiv.1311.0300,
title = {Every Lipschitz metric has $C^1$-geodesics},
author = {Roland Steinbauer},
journal= {arXiv preprint arXiv:1311.0300},
year = {2014}
}
Comments
final version, minor corrections