Timeline for Geodesic balls in warped product spaces
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 24 at 2:06 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
| Jul 27 at 2:04 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
| Jun 27 at 1:24 | answer | added | Anton Petrunin | timeline score: 0 | |
| Oct 21, 2015 at 12:18 | review | Close votes | |||
| Oct 22, 2015 at 14:14 | |||||
| Oct 21, 2015 at 11:55 | comment | added | Benoît Kloeckner | Smoothness at $O$ is the only restriction, right? If I understand notation correctly, for any metric of this kind the shortest path from the origin to a point is a ray (proof is the same as in proving that line segments are shortest paths in Euclidean space). Thus the function $f$ does not matter so much, except for its behavior near $0$. Unless you provide more information about what you expect your 'generalized space form' to look like, I don't think it is possible to give a good answer. | |
| Oct 21, 2015 at 9:49 | comment | added | pedro | Yes, I require that. My goal is to have a suitable generalization of space forms. | |
| Oct 21, 2015 at 8:50 | comment | added | Robert Bryant | Are you requiring that $M\cup\{O\}$ have a smooth structure such that $g$ is smooth at $O$? | |
| Oct 21, 2015 at 8:21 | history | asked | pedro | CC BY-SA 3.0 |