Timeline for Upper bound of the dimension of automorphism group of compact Kähler manifolds
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Mar 22, 2018 at 12:03 | comment | added | Robert Bryant | More generally, if $G\subset\mathrm{GL}(n,\mathbb{R})$ is Lie subgroup of finite type, i.e., if the sheaf of vector fields whose flows preserve the translation-invariant $G$-structure $B_0$ on $\mathbb{R}^n$ has finite dimensional stalks of dimension $d$, then the group of automorphisms of any $G$-structure $B$ on an $n$-manifold is a Lie group of dimension at most $d$. This was essentially known to É. Cartan. It includes all the pseudo-Riemannian geometries and their sub-geometries such as almost Hermitian; in particular, it includes the cases you mention above. | |
| Mar 22, 2018 at 4:53 | vote | accept | Kevin | ||
| Mar 22, 2018 at 4:05 | history | edited | Michael Albanese | CC BY-SA 3.0 |
deleted 1 character in body; edited tags; edited title
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| Mar 22, 2018 at 3:59 | answer | added | Igor Rivin | timeline score: 1 | |
| Mar 22, 2018 at 2:10 | history | asked | Kevin | CC BY-SA 3.0 |