Timeline for asymptotic behavior of Lipschitz constants of sectional curvature
Current License: CC BY-SA 3.0
5 events
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| Jul 3, 2016 at 20:04 | comment | added | Sergei Ivanov | Take the standard metric on $\mathbb{CP}^n$ and perturb it in a small neighbourhood so that it is no longer isometric to the original. If the second derivatives of the additional term are small, the metric remains positively curved. | |
| Jul 3, 2016 at 17:35 | comment | added | Nicolò De Ponti | @SergeiIvanov Thank you for the comment. I have tried to contact the author but I have not received any answer yet. Could you please give me some further information about the counterexample of theorem 2? | |
| Jul 2, 2016 at 20:24 | comment | added | Sergei Ivanov | Did you try to contact the author? As a side note, I remember myself looking at this preprint back in 2014 and finding some unfixable flaw in it. The flaw was in something similar to you question. Maybe it is the same place. Also note that the main theorem (Theorem 2) is obviously false: there are positively curved metrics on $\mathbb{CP}^n$ such that it is not a locally symmetric space (just perturb the standard metric to obtain an example). | |
| Jun 29, 2016 at 20:40 | review | First posts | |||
| Jun 29, 2016 at 20:43 | |||||
| Jun 29, 2016 at 20:39 | history | asked | Nicolò De Ponti | CC BY-SA 3.0 |