Timeline for Geodesics of bounded length on a Riemannian manifold
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 1, 2011 at 3:22 | vote | accept | Julia E | ||
| Aug 31, 2011 at 16:55 | answer | added | Sergei Ivanov | timeline score: 19 | |
| Aug 31, 2011 at 15:22 | comment | added | Julia E | I really meant shortest representative. I changed the question to reflect that. And I put simple in there because I'm also interested in other metrics on surfaces -- in higher dimensions, the condition is vacuous. | |
| Aug 31, 2011 at 15:21 | history | edited | Julia E | CC BY-SA 3.0 |
edited body
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| Aug 31, 2011 at 15:13 | comment | added | Jean-Marc Schlenker | There is no canonical geodesic representative of a homotopy class of curves in a Riemannian manifold in general (there is one if the curvature is negative). Moreover the notion of homotopy class of simple closed curves does not make sense in dimension larger than 2. | |
| Aug 31, 2011 at 15:05 | history | asked | Julia E | CC BY-SA 3.0 |