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arXiv:1601.07079 [math.DS]AbstractReferencesReviewsResources

Homoclinic intersections for geodesic flows on convex spheres

Zhihong Xia, Pengfei Zhang

Published 2016-01-26Version 1

In this paper we study some generic properties of the geodesic flows on a convex sphere. We prove that, $C^r$ generically ($2\le r\le\infty$), every hyperbolic closed geodesic admits some transversal homoclinic orbits.

Categories: math.DS
Subjects: 37C20, 37C29, 37D40
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