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Pseudoconvex and Disprisoning Homogeneous Sprays

1994/11/26 by L. Del Riego, Del Riego, L., P. E. Parker +1
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #dg-ga #math.DG

paper · pdf · doi:10.48550/arxiv.dg-ga/9411012

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

arxiv created 1994/11/26 · openalex publication_date 1994/11/26 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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