Timeline for when are local quasigeodesics global in CAT(0)
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
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| Nov 17, 2015 at 19:19 | history | edited | Anton Petrunin |
edited tags
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| Sep 7, 2015 at 14:12 | answer | added | Misha | timeline score: 1 | |
| Jun 3, 2015 at 23:39 | comment | added | Igor Rivin | @HJRW Well, take a curve made of straight line segments of length $L$ meeting at angle $\pi -\epsilon.$ This will eventually close up into an $2N$-gon (for $\epsilon = \pi/N$), so is not a global quasi-geodesic no matter how large $L$ is, while being a local quasi-geodesic. | |
| Jun 3, 2015 at 22:06 | comment | added | HJRW | What's the counterexample in the Euclidean plane? It's well known that global quasigeodesics there need not be uniformly close to a geodesic, but that's not quite the same thing... | |
| Jun 3, 2015 at 15:09 | history | edited | Igor Rivin | CC BY-SA 3.0 |
fixed title
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| Jun 3, 2015 at 15:09 | comment | added | Igor Rivin | @HenrikRüping true, will fix. | |
| Jun 3, 2015 at 5:19 | comment | added | HenrikRüping | So the question is about local quasigeodesics ? The title might suggest otherwise. | |
| Jun 2, 2015 at 19:53 | comment | added | Igor Rivin | @LeeMosher Yes, as in Kent-Leininger... | |
| Jun 2, 2015 at 19:24 | comment | added | Lee Mosher | I know examples of ping-pong type subgruops which are quasi-isometrically embedded, e.g. in mapping class groups, but the methods of proof that I know involve not-properly-discontinuous-but-otherwise-nice actions of the ambient group (or nondistorted subgroups thereof) on $\delta$-hyperbolic spaces. | |
| Jun 2, 2015 at 16:48 | history | asked | Igor Rivin | CC BY-SA 3.0 |