Timeline for Invariants associated to a principal bundle whose total space is a symplectic manifold acted symplectically by group structure
Current License: CC BY-SA 4.0
12 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| S Oct 9, 2023 at 15:04 | history | bounty ended | CommunityBot | ||
| S Oct 9, 2023 at 15:04 | history | notice removed | CommunityBot | ||
| S Oct 1, 2023 at 13:43 | history | bounty started | Ali Taghavi | ||
| S Oct 1, 2023 at 13:43 | history | notice added | Ali Taghavi | Authoritative reference needed | |
| Jul 27, 2023 at 8:33 | comment | added | Ali Taghavi | @TobiasDiez Yes I see ,thank you | |
| Jul 26, 2023 at 9:35 | comment | added | Tobias Diez | For example, you might want to require your metric to be compatible with the symplectic form so that the LC is a symplectic connection, $\nabla \sigma = 0$. | |
| Jul 26, 2023 at 4:49 | comment | added | Ali Taghavi | @TobiasDiez what kind of compatibility do you siggest? | |
| Jul 26, 2023 at 4:41 | comment | added | Ali Taghavi | @TobiasDiez Thank you very much for your comment. I think about some compatibilities. | |
| Jul 24, 2023 at 9:13 | comment | added | Tobias Diez | If I'm not mistaken, then $\alpha(X, Y) = \sigma(X^v, Y)$, where $\sigma$ is the symplectic form and $X^v$ denotes the vertical part of $X$ wrt to the connection. So unless you assume some compatibility of the connection with the symplectic form, I don't see how to answer any of your questions. | |
| Jul 21, 2023 at 22:04 | history | edited | Ali Taghavi |
edited tags
|
|
| Jul 21, 2023 at 21:28 | history | edited | Ali Taghavi | CC BY-SA 4.0 |
deleted 1 character in body
|
| Jul 21, 2023 at 20:32 | history | asked | Ali Taghavi | CC BY-SA 4.0 |