We construct explicit examples of closed surfaces with positive curvature whose geodesic flow has positive topological entropy. It follows that these surfaces have infinitely many hyperbolic closed geodesies.
|Original language||English (US)|
|Number of pages||21|
|Journal||Journal of Differential Geometry|
|State||Published - Mar 1994|
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory
- Geometry and Topology