Timeline for Is it possible for a metric on a smooth manifold to be smooth?
Current License: CC BY-SA 3.0
9 events
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| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| Apr 13, 2017 at 12:19 | history | edited | CommunityBot |
replaced http://math.stackexchange.com/ with https://math.stackexchange.com/
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| Nov 8, 2016 at 18:29 | comment | added | Joonas Ilmavirta | I updated my answer to discuss the existence of a metric which is as smooth as possible. | |
| Aug 24, 2015 at 11:14 | comment | added | Robert Bryant | You probably know this, but, just in case: It is more reasonable to ask that the square of the metric be smooth (or, more generally, that $F(d):M\times M\to\mathbb{R}$ be smooth, where $F:[0,\infty)\to[0,\infty)$ is a strictly increasing function satisfying certain other properties). This turns out to be just as good for most purposes (for example, in information geometry) and, for many purposes, is much better than asking that $d$ itself be smooth. | |
| Aug 20, 2015 at 11:01 | vote | accept | Asaf Shachar | ||
| Aug 20, 2015 at 11:00 | history | edited | Asaf Shachar | CC BY-SA 3.0 |
added 1530 characters in body
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| Aug 19, 2015 at 16:40 | history | edited | Joonas Ilmavirta | CC BY-SA 3.0 |
Added tags.
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| Aug 19, 2015 at 16:38 | answer | added | Joonas Ilmavirta | timeline score: 50 | |
| Aug 19, 2015 at 15:17 | history | asked | Asaf Shachar | CC BY-SA 3.0 |