The exponential map of a $C^{1,1}$-metric
Differential Geometry
2014-07-01 v3
Abstract
Given a pseudo-Riemannian metric of regularity on a smooth manifold, we prove that the corresponding exponential map is a bi-Lipschitz homeomorphism locally around any point. We also establish the existence of totally normal neighborhoods in an appropriate sense. The proofs are based on regularization, combined with methods from comparison geometry.
Keywords
Cite
@article{arxiv.1306.4776,
title = {The exponential map of a $C^{1,1}$-metric},
author = {Michael Kunzinger and Roland Steinbauer and Milena Stojkovic},
journal= {arXiv preprint arXiv:1306.4776},
year = {2014}
}
Comments
Final version