Timeline for Isometric embedding of a Kaehler manifold as a special Lagrangian in a Calabi-Yau manifold
Current License: CC BY-SA 3.0
12 events
| when toggle format | what | by | license | comment | |
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| Oct 23, 2012 at 14:12 | answer | added | Mina | timeline score: 0 | |
| Oct 21, 2012 at 17:08 | vote | accept | Pavel | ||
| Oct 21, 2012 at 16:39 | answer | added | Peter Dalakov | timeline score: 2 | |
| Oct 21, 2012 at 16:31 | comment | added | Pavel | yes. This is actually yes! | |
| Oct 21, 2012 at 15:46 | comment | added | Peter Dalakov | Or maybe you are asking how the existence of the Kaledin-Feix metric gives you a special lagrangian embedding? | |
| Oct 21, 2012 at 14:30 | comment | added | Peter Dalakov | I am not exactly sure what you mean by "explanation", but since you're asking for references, have a look at Birte Feix's thesis "Hyperkaehler metrics on cotangent bundles". There she constructs the HK metric in a different way. See also mathoverflow.net/questions/46752/… | |
| Oct 21, 2012 at 6:03 | history | edited | Pavel | CC BY-SA 3.0 |
added 44 characters in body
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| Oct 21, 2012 at 6:01 | comment | added | Pavel | ok, I see. lets assume that the given Kaehler manifold is also real analytic. Is it then possible? how can one explain this? what are the ingredients in showing this? | |
| Oct 20, 2012 at 22:19 | comment | added | Robert Bryant | Your question suggests that you are looking for an isometric embedding of the given Kähler manifold as a special Lagrangian in a Calabi-Yau manifold, but you don't mention this requirement in the text. I'll just point out that the induced metric on any special Lagrangian submanifold of a Calabi-Yau manifold is necessarily real-analytic, so it follows that it is not possible, in general to isometrically embed a given Kähler manifold as a special Lagrangian in some Calabi-Yau manifold. | |
| Oct 20, 2012 at 12:49 | comment | added | Spiro Karigiannis | or by Calabi: archive.numdam.org/ARCHIVE/ASENS/ASENS_1979_4_12_2/… | |
| Oct 20, 2012 at 12:48 | comment | added | Spiro Karigiannis | try looking at papers of Stenzel: math.osu.edu/~stenzel.3/research/publications/ricci-flat.pdf | |
| Oct 20, 2012 at 10:24 | history | asked | Pavel | CC BY-SA 3.0 |