Geodesic Connectedness of Affine Manifolds
Differential Geometry
2020-05-21 v2
Abstract
We discuss new sufficient conditions under which an affine manifold is geodesically connected. These conditions are shown to be essentially weaker than those discussed in groundbreaking work by Beem and Parker and in recent work by Alexander and Karr, with the added advantage that they yield an elementary proof of the main result.
Cite
@article{arxiv.2004.08357,
title = {Geodesic Connectedness of Affine Manifolds},
author = {Ivan P. Costa e Silva and José L. Flores},
journal= {arXiv preprint arXiv:2004.08357},
year = {2020}
}
Comments
13 pages; minor changes in the introduction and section 3