Pseudoconvex and Disprisoning Homogeneous Sprays
dg-ga
2008-02-03 v1 Differential Geometry
Abstract
The pseudoconvex and disprisoning conditions for geodesics of linear connections are extended to the solution curves of general homogeneous sprays. The main result is that pseudoconvexity and disprisonment are jointly stable in the fine topology on the space of all homogeneous sprays of any degree of homogeneity.
Cite
@article{arxiv.dg-ga/9411012,
title = {Pseudoconvex and Disprisoning Homogeneous Sprays},
author = {L. Del Riego and P. E. Parker},
journal= {arXiv preprint arXiv:dg-ga/9411012},
year = {2008}
}
Comments
11 pages, process with AMS-LaTeX 1.1, no figures, accepted by Geometria Dedicata