Convex Neighbourhoods and Complete Finsler Spaces
Differential Geometry
2010-06-07 v1
Abstract
In this paper, it is shown that a large set of connections on a suitable sub-bundle of the tangent bundle of a Finsler Manifold can be used to study all the properties of convex neighbourhoods with respect to the Finsler Metric, which are needed to see that any Complete Finsler Space is Geodesically Connected.
Keywords
Cite
@article{arxiv.1006.0851,
title = {Convex Neighbourhoods and Complete Finsler Spaces},
author = {O. M. Amici and B. C. Casciaro},
journal= {arXiv preprint arXiv:1006.0851},
year = {2010}
}
Comments
17 pages