Timeline for A "Riemannian" analogue of Kobayashi metric?
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
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| Feb 3, 2014 at 13:55 | comment | added | Misha | @BenoîtKloeckner: I was hoping for Lee to provide a definitive answer since he was responsible for one of the earliest results in this direction. I guess, this is not going to happen any time soon, and I will write a more detailed answer at some point. | |
| Feb 3, 2014 at 13:10 | comment | added | Benoît Kloeckner | @Misha: it seems to me that your comment should be made into an answer so that it could be accepted. | |
| Feb 3, 2014 at 8:09 | comment | added | user46438 | The same notion of a "real Kobayashi metric" is described by Gromov in his "Metric structures.." book (see Page 8). | |
| May 20, 2013 at 5:30 | answer | added | Curtis McMullen | timeline score: 9 | |
| May 15, 2013 at 11:58 | comment | added | aglearner | Misha, thanks for your comment I'll check the paper. | |
| May 15, 2013 at 3:03 | comment | added | Misha | Bruce Kleiner has a unpublished note where he used this construction (Brady-like hyperbolicity) to characterize closed Riemannian manifolds with word-hyperbolic fundamental groups. Gabai and Kazez has a published paper “Group Negative Curvature for 3-Manifolds with Genuine Laminations”, Geom. and Top., 2 (1998) 65-77, where they worked out the case of 3-dimensional targets. Mosher and Oertel earlier had a combinatorial version. (Mosher will probably make further comments here.) | |
| May 14, 2013 at 23:57 | comment | added | Deane Yang | It seems to me that if the manifold is not conformally flat, then there might not be any conformal maps of the unit disk into a neighborhood of a point. If it's conformally flat, then presumably you get something similar to what happens for Riemann surfaces. That might still be interesting to study. | |
| May 14, 2013 at 23:01 | history | edited | aglearner | CC BY-SA 3.0 |
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| May 14, 2013 at 22:22 | history | asked | aglearner | CC BY-SA 3.0 |