Timeline for Extension of Hopf fiber bundle to (an equivariant) 2 dimensional vector bundle
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 1, 2019 at 5:29 | vote | accept | Ali Taghavi | ||
| Jul 29, 2019 at 10:54 | comment | added | Panagiotis Konstantis | It should. It is an action of $S^1$ on the complex line bundle and you can choose an $S^1$ invariant fiber metric. The sphere bundle of the line bundle to this invariant metric is by construction $S^3$ and again by construction $S^1$ acts on $S^3$. | |
| Jul 29, 2019 at 10:32 | comment | added | Arkadij | But the lifted action from $S^2$ would not extend the action of $S^1$ on $S^3$. | |
| Jul 29, 2019 at 8:50 | history | edited | Panagiotis Konstantis | CC BY-SA 4.0 |
added 286 characters in body
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| Jul 29, 2019 at 7:27 | history | answered | Panagiotis Konstantis | CC BY-SA 4.0 |