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Results tagged with closed-geodesic
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user 13972
6
votes
Metrics on torus without closed contractible geodesics
This is a comment, not an answer, but it's too long to fit into a comment window.
I don't know of a 'generic' condition on metrics on the torus that would guarantee that there are no null-homotopic c …
- 108k
10
votes
Accepted
Closed geodesics on constant positive Gauss curvature surfaces
The answers to your questions about geodesics on such surfaces can be found in A. L. Besse's book Manifolds all of whose geodesics are closed (1978, Springer Ergebnisse series). Especially, you shoul …
- 108k