Timeline for Isometries of manifolds with non-positive sectional curvature
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 19, 2023 at 14:33 | comment | added | Yasha | No additional assumptions on KVF. | |
| Jun 18, 2023 at 17:08 | comment | added | Otis Chodosh | Do you want to assume anything about the killing vector at the boundary? I think if the KVF is tangent to the boundary then you should be able to make it work. But with no boundary conditions there must be a counterexample. | |
| Jun 18, 2023 at 16:53 | comment | added | Yasha | Ok I read Petersen. Looks good. It seems like in case the manifold has boundary the argument would have problems, since it is using the maximum principle for the Laplacian. | |
| Jun 18, 2023 at 16:41 | vote | accept | Yasha | ||
| Jun 18, 2023 at 16:05 | comment | added | Yasha | Thanks, I will need to think about that for a bit. What about if M has (totally geodesic) boundary? Sorry if these are elementary questions, not really my subject. | |
| Jun 17, 2023 at 22:12 | history | answered | Otis Chodosh | CC BY-SA 4.0 |