Pseudoconvex and disprisoning homogeneous sprays
Copyright policy )Pseudoconvex and disprisoning homogeneous sprays
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.
11 pages, process with AMS-LaTeX 1.1, no figures, accepted by Geometria Dedicata
Geodesic flows in symplectic geometry and contact geometry, Mathematics - Differential Geometry, Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.), Geodesics in global differential geometry, stability, homogeneous sprays, \(C^ 0\)-Whitney topology, \(C^ 0\) fine neighbourhood, Differential Geometry (math.DG), General geometric structures on manifolds (almost complex, almost product structures, etc.), FOS: Mathematics, second-order differential equations, geodesic
Geodesic flows in symplectic geometry and contact geometry, Mathematics - Differential Geometry, Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.), Geodesics in global differential geometry, stability, homogeneous sprays, \(C^ 0\)-Whitney topology, \(C^ 0\) fine neighbourhood, Differential Geometry (math.DG), General geometric structures on manifolds (almost complex, almost product structures, etc.), FOS: Mathematics, second-order differential equations, geodesic
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