Timeline for Examples of Einstein four-manifolds of negative sectional curvature
Current License: CC BY-SA 3.0
29 events
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Jun 27, 2022 at 22:50 | answer | added | Ian Agol | timeline score: 6 | |
Jul 9, 2019 at 6:01 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
Feb 5, 2018 at 9:16 | comment | added | YangMills | And the paper just came out: arxiv.org/abs/1802.00608 | |
Nov 3, 2017 at 12:42 | comment | added | YangMills | An example has been announced by Joel Fine and Bruno Premoselli, see here scgp.stonybrook.edu/video_portal/video.php?id=3382 | |
Oct 8, 2017 at 5:44 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
Sep 8, 2017 at 5:01 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
Aug 9, 2017 at 6:43 | comment | added | C.F.G | This post mathoverflow.net/a/278198/90655 would be useful. | |
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Nov 4, 2014 at 19:45 | comment | added | Bruno Martelli | using Dehn filling on cusped hyperbolic manifolds (see the papers of Anderson and Bamler) you can construct plenty of manifolds that admit both Einstein and non-positive sectional curvature metrics, but not simultaneously as far as I understand. | |
Oct 5, 2014 at 19:33 | history | edited | littlelittlelittle | CC BY-SA 3.0 |
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Oct 5, 2014 at 13:48 | comment | added | Vladimir S Matveev | you possibly want to add $H^2\times R^2$ to the list of trivial examples, since the product of a hyperbolic surface and the 2-torus is Kähler-Einstein | |
Oct 5, 2014 at 13:39 | history | edited | littlelittlelittle | CC BY-SA 3.0 |
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Oct 5, 2014 at 12:00 | comment | added | Igor Belegradek | I think this is an open problem, and things have not changed since Anderson's survey arxiv.org/abs/0810.4830. At some point Anderson claimed the existence of such examples, see arxiv.org/abs/math/0310041, but it was later retracted. | |
Oct 5, 2014 at 3:30 | answer | added | Igor Rivin | timeline score: -1 | |
Oct 5, 2014 at 2:55 | history | edited | littlelittlelittle | CC BY-SA 3.0 |
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Oct 5, 2014 at 1:11 | history | edited | littlelittlelittle | CC BY-SA 3.0 |
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Oct 4, 2014 at 17:35 | history | asked | littlelittlelittle | CC BY-SA 3.0 |