Pseudoconvex and Disprisoning Homogeneous Sprays

Details Pseudoconvex and Disprisoning Homogeneous Sprays Pseudoconvex and Disprisoning Homogeneous Sprays

1994-11-26

arxiv.org/abs/dg-ga/9411012v1

Mathematics

Differential Geometry

11 pages, process with AMS-LaTeX 1.1, no figures, accepted by Geometria Dedicata

Scientific paper

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.

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