Homoclinic intersections for geodesic flows on convex spheres

Name: Homoclinic intersections for geodesic flows on convex spheres
Uploaded: 2017-01-01
Description: In this paper, we study some generic properties of the geodesic flows on a convex sphere.We prove that, C r generically (2 ≤ r ≤ ∞), every hyperbolic closed geodesic on S 2 admits some transverse homoclinic intersections.
Zhihong Xia; Pengfei Zhang
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