Timeline for symplectic structure of tangent bundle of $\mathbb{S}^{n-1}$
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 2, 2013 at 14:09 | vote | accept | Ali Taghavi | ||
| Dec 1, 2013 at 21:13 | comment | added | Mike Usher | No, that certainly wouldn't be the case (for instance if you composed the symplectomorphism in the answer with a non-equivariant symplectomorphism of the domain--of which there are many--the result wouldn't be equivariant). The idea of asking for O(n)-equivariance was just to narrow down the search, and also to take advantage of the fact that an equivariant symplectomorphism will respect the moment maps (thus giving a function that the map should preserve, which is usually easier to arrange than preserving a form). | |
| Dec 1, 2013 at 18:21 | comment | added | Ali Taghavi | Mike thank you for your beutiful answer. But do you mean that an arbitrary symplectomorphism is necessarily equivariant with respect to O(n) action? | |
| Nov 30, 2013 at 17:58 | comment | added | Patrick I-Z | I didn't check your computation, but that's not the point. I just want to congratulate you for using the wording "Moment Map" :-}) | |
| Nov 30, 2013 at 17:34 | history | answered | Mike Usher | CC BY-SA 3.0 |