Timeline for Why are products of spheres integrable?
Current License: CC BY-SA 4.0
4 events
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| May 20, 2021 at 17:16 | comment | added | Leo Moos | @OtisChodosh Got it - if you want to copy this verbatim as an answer I'd be happy to accept it. | |
| May 20, 2021 at 16:33 | comment | added | Otis Chodosh | You can use separation of variables to explicitly find all Jacobi fields in this case and then just verify that they correspond to ambient isometries. One place to find this is the Inventiones paper of Simon and Solomon. As far as I know, it is a relatively famous open question in the area if there are any minimal hypersurfaces in S^n that are nonintegrable (in higher codimension there are examples, like you say). I think that integrability is proven for the m,1 Lawson surfaces by the recent work of Kapouleas Wiygul but you should check this. | |
| May 20, 2021 at 16:29 | history | edited | Leo Moos | CC BY-SA 4.0 |
changed title
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| May 20, 2021 at 14:21 | history | asked | Leo Moos | CC BY-SA 4.0 |