Finsler geodesics in the presence of a convex function and their applications
Differential Geometry
2010-09-14 v2
Abstract
We obtain a result about the existence of only a finite number of geodesics between two fixed non-conjugate points in a Finsler manifold endowed with a convex function. We apply it to Randers and Zermelo metrics. As a by-product, we also get a result about the finiteness of the number of lightlike and timelike geodesics connecting an event to a line in a standard stationary spacetime.
Keywords
Cite
@article{arxiv.0910.3176,
title = {Finsler geodesics in the presence of a convex function and their applications},
author = {Erasmo Caponio and Miguel Angel Javaloyes and Antonio Masiello},
journal= {arXiv preprint arXiv:0910.3176},
year = {2010}
}
Comments
16 pages, AMSLaTex. v2 is a minor revision: title changed, references updated, typos fixed; it matches the published version. This preprint and arXiv:math/0702323v3 [math.DG] substitute arXiv:math/0702323v2 [math.DG]