Skip to main content
13 events
when toggle format what by license comment
Oct 1, 2020 at 8:38 vote accept CommunityBot
Oct 1, 2020 at 4:06 history became hot network question
Sep 30, 2020 at 22:04 answer added Ian Agol timeline score: 12
Sep 30, 2020 at 21:48 answer added Dmitri Panov timeline score: 10
Sep 30, 2020 at 21:22 history edited user164740 CC BY-SA 4.0
added 78 characters in body
Sep 30, 2020 at 20:33 history edited user164740 CC BY-SA 4.0
deleted 9 characters in body
Sep 30, 2020 at 20:28 comment added Michael Albanese @RobertBryant: I meant no example where $M\times M$ is Kähler. Note that the question has been edited since my comment (previously it asked whether there was an example with $M\times M$ complex).
Sep 30, 2020 at 20:23 comment added Robert Bryant Obviously, there is no symplectic structure (and hence no Kähler structure) on any smooth manifold homeomorphic to $S^3\times S^3$ because $H^2(S^3\times S^3) = 0$.
Sep 30, 2020 at 20:17 history edited user164740 CC BY-SA 4.0
deleted 5 characters in body; edited title
Sep 30, 2020 at 20:16 comment added user164740 @MichaelAlbanese thank you
Sep 30, 2020 at 20:14 comment added Michael Albanese There is a complex structure on $S^3\times S^3$, see Calabi-Eckmann manifolds. I am not aware of any Kähler examples.
Sep 30, 2020 at 20:12 history edited user164740 CC BY-SA 4.0
added 2 characters in body
Sep 30, 2020 at 20:05 history asked user164740 CC BY-SA 4.0