Timeline for (1-Lipschitz) + (length-preserving) = isometry
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Jul 30, 2011 at 13:27 | comment | added | Anton Petrunin | The equality case for finite set is easy. But to do equality for infinite set of points one has to make effective estimates for finite case; this is pain to write. [At least I do not see an other way.] | |
| Jul 30, 2011 at 13:18 | comment | added | Arseniy Akopyan | Here it is for high dimensional Euclidean case. cs.elte.hu/geometry/Workshop09/large_r5.pdf | |
| Jul 29, 2011 at 22:33 | comment | added | Anton Petrunin | Indeed, it is easy to prove that 1-Lipschitz map does not increase the perimeter of convex hull. Now one has to show that equality holds only for isometry... | |
| Jul 29, 2011 at 19:51 | history | edited | Arseniy Akopyan | CC BY-SA 3.0 |
deleted 2 characters in body
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| Jul 29, 2011 at 18:04 | history | answered | Arseniy Akopyan | CC BY-SA 3.0 |