Timeline for Möbius and projective 3-manifolds
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| Feb 4, 2019 at 12:42 | history | edited | Ben McKay | CC BY-SA 4.0 |
fixed spelling of by
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| Aug 11, 2013 at 12:55 | comment | added | Robert Bryant | I guess the wording in my last sentence is not clear. I meant to say that there is no primitive transitive Lie transformation group of dimension greater than $n^2{+}2n$ acting in dimension $n$, and the only such action that attains that maximal dimension is $\mathrm{PGL}(n{+}1,\mathbb{R})$ acting on $\mathbb{RP}^n$ (and, of course, the lifted action of $\mathrm{GL}(n{+}1,\mathbb{R})$ on the nontrivial double cover $\mathbb{S}^n$, i.e., the oriented lines). | |
| Aug 11, 2013 at 12:13 | comment | added | Michael Bächtold | My suggested interpretation is probably unrealistically strong. | |
| Aug 11, 2013 at 11:34 | comment | added | Michael Bächtold | Informative answer as always! Concerning your last sentence do I interpret it correctly: for any smooth $n$-manifold there is a transitive, primitive faithful action of $PGL(n^2+2n,\mathbb{R})$ on it, and there is no group of equal or higher dimension which has the same property? | |
| Aug 11, 2013 at 10:26 | history | answered | Robert Bryant | CC BY-SA 3.0 |