Timeline for Homotopy type of Diff(ℝP³)
Current License: CC BY-SA 4.0
3 events
| when toggle format | what | by | license | comment | |
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| Sep 26, 2022 at 10:00 | comment | added | Neil Strickland | Note also that there is a surjective map $S^3\times S^3\to SO(\mathbb{H})=SO(4)$ given by $(u,v)\mapsto(x\mapsto ux\overline{v})$. This induces an isomorphism from $SO(3)\times SO(3)\simeq(S^3/\{\pm 1\})\times(S^3/\{\pm 1\})\simeq \mathbb{R}P^3\times\mathbb{R}P^3$ to $SO(4)/\{\pm I\}$. | |
| Sep 26, 2022 at 8:16 | comment | added | Sergiy Maksymenko | Thank you very much for references. Thus Diff(RP^3) ~ Isom(RP^3) = O(4)/{I,-I}. | |
| Sep 26, 2022 at 1:12 | history | answered | Andy Putman | CC BY-SA 4.0 |