Timeline for symplectic form with partition on unity
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 29, 2011 at 14:40 | comment | added | Stefan Waldmann | It fails for two reasons: first there is no guarantee that your $\omega$ is still closed. Second, there is no guarantee that yor $\omega$ is still non-degenerate... | |
| Jun 25, 2011 at 17:45 | answer | added | agt | timeline score: 4 | |
| Jun 24, 2011 at 11:46 | answer | added | Daniel Pomerleano | timeline score: 4 | |
| Jun 24, 2011 at 11:21 | vote | accept | john | ||
| Jun 24, 2011 at 11:12 | comment | added | Spiro Karigiannis | Essentially, the reason it works for Riemannian metrics is because a convex linear combination of positive definite inner products is still a positive definite inner product. This is not true for skew-symmetric bilinear forms (symplectic forms) nor is it true for inner products with indefinite signature. The existence of such structures on manifolds is a topological question. | |
| Jun 24, 2011 at 10:37 | answer | added | Marco Golla | timeline score: 9 | |
| Jun 24, 2011 at 10:21 | history | asked | john | CC BY-SA 3.0 |