Timeline for extension of Riemannian metric on real affine variety
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
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| Apr 21, 2014 at 15:40 | comment | added | Allen Knutson | That's indeed much more reasonable than what I said. | |
| Apr 21, 2014 at 11:11 | comment | added | Robert Bryant | Not only might it be degenerate, but it will never be positive definite: The real part of a holomorphic quadratic form always has split signature (when it is nondegenerate). A more reasonable thing to ask would be whether there is a natural way to extend a real-analytic metric on $X_\mathbb{R}$ to an Hermitian metric on $X$, at least on a neighborhood of $X_\mathbb{R}$. There has been some recent progress on this; see arxiv.org/abs/1310.7394. | |
| Apr 20, 2014 at 20:30 | history | answered | Allen Knutson | CC BY-SA 3.0 |