Timeline for Neighborhoods of the identity in diffeomorphism groups
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Sep 25, 2023 at 0:22 | history | edited | David Roberts♦ | CC BY-SA 4.0 |
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| Mar 14, 2015 at 13:02 | history | edited | user47274 | CC BY-SA 3.0 |
Added counterexample to my own question
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| Mar 13, 2015 at 22:12 | comment | added | Katie Mann | I think whether the image of exp is dense in a neighborhood of the origin is not known, and probably difficult. For example, the paper "Local Density of diffeomorphisms with large centralizers" (Bonatti, Crovisier, Vago and Wilkinson, arxiv.org/abs/0709.4319 ) shows that for a surface S, there is an open set in Diff^1(S) with a dense subset of diffeomorphisms that are the time 1 map of a flow, and state the higher-dimensional analog as a question. I have no idea what is known in the smooth (rather than C^1) case. | |
| Mar 12, 2015 at 23:28 | history | answered | user47274 | CC BY-SA 3.0 |