Completeness and incompleteness of the Binet-Legendre Metric
Differential Geometry
2015-10-02 v2
Abstract
The goal of this short paper is to give condition for the completeness of the Binet-Legendre metric in Finsler geometry. The case of the Funk and Hilbert metrics in a convex domain are discussed.
Keywords
Cite
@article{arxiv.1408.6401,
title = {Completeness and incompleteness of the Binet-Legendre Metric},
author = {Vladimir S. Matveev and Marc Troyanov},
journal= {arXiv preprint arXiv:1408.6401},
year = {2015}
}
Comments
17 pages, 3 figures