Timeline for Self-Intersecting Geodesics in Homogeneous Spaces
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Dec 10, 2015 at 9:16 | comment | added | Oliver Jones | Sorry, I should have said that the space must have positive curvature. Are there any examples in this class? | |
| Dec 10, 2015 at 8:52 | comment | added | Mikhail Katz | No, not every homogeneous space will have a self-intersecting geodesic. Take for example your favorite simply connected space of nonpositive curvature. You can certainly pick one that's not symmetric. | |
| Dec 10, 2015 at 8:24 | comment | added | Oliver Jones | Thanks for the answer, Katz. However, what I really want to know is whether every such homogeneous space, which is not symmetric, admits a self-intersecting geodesic. | |
| Dec 10, 2015 at 8:06 | history | edited | Mikhail Katz | CC BY-SA 3.0 |
added 6 characters in body
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| Dec 10, 2015 at 7:52 | history | answered | Mikhail Katz | CC BY-SA 3.0 |