Timeline for Analogue of Infinitesimal Schwarzian for holomorphic $(G,X)$-manifolds
Current License: CC BY-SA 3.0
8 events
when toggle format | what | by | license | comment | |
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Jun 4, 2017 at 11:28 | answer | added | Robert Bryant | timeline score: 3 | |
May 25, 2017 at 14:31 | history | edited | Andy Sanders | CC BY-SA 3.0 |
Corrected spelling error in title.
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May 25, 2017 at 12:20 | answer | added | Ben McKay | timeline score: 7 | |
May 25, 2017 at 12:15 | comment | added | Andy Sanders | That's precisely the kind of thing I had in mind Ben, at the end of the day I should just bite the bullet and do it myself, but I was hoping there might be something hiding in the literature which would save me trouble and perhaps give some insights I have missed. | |
May 25, 2017 at 12:13 | comment | added | Ben McKay | There is a nice expression for the differential operator if you allow yourself to write it on the total space of the Cartan geometry, but I can't find a good reference right away. | |
May 25, 2017 at 12:10 | comment | added | Andy Sanders | I had an inclination that this is probably the case, I am/was hoping there was at least a rough algorithm to follow that would solve the problem up to Lie theoretic issues concerning the given homogeneous space. I had not thought of your final comment before, thank you for this insight. | |
May 25, 2017 at 12:05 | comment | added | Ben McKay | I am pretty sure that $Q$ depends on the choice of $(G,X)$-structure for almost every other example. For example, for a flat contact projective structure, I think you can recover the contact structure from $Q$. (That is probably the simplest case to try.) Perhaps the point is that projective spaces are the only complex homogeneous spaces with transitive action of the stabilizer $P \subset G$ on the nonzero elements of $\mathfrak{g}/\mathfrak{p}$. | |
May 25, 2017 at 11:58 | history | asked | Andy Sanders | CC BY-SA 3.0 |