Timeline for A comparison question for non-positively curved disks
Current License: CC BY-SA 2.5
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 19, 2011 at 9:01 | comment | added | Greg Kuperberg | Anyway, to make things clear for any other readers here, Otal shows that if two negatively curved disks have equal distances between points on the boundary, then they are isometric. | |
| Feb 18, 2011 at 23:02 | comment | added | Igor Rivin | @Greg: yes, I understood the question. It is possible that under your hypotheses, the contraction on the boundary extends to a contraction on the disks (this would be a really nice result, if true...) | |
| Feb 18, 2011 at 20:46 | comment | added | Greg Kuperberg | I downloaded the paper by Otal and I am still reading it. But let me explain that when I said "with equality", I meant as the hypothesis that the areas are equal, not the distances. Of course if the disks are isometric, then a posteriori the distances are equal as well. | |
| Feb 18, 2011 at 18:13 | history | answered | Igor Rivin | CC BY-SA 2.5 |