Timeline for The imaginary exponential of a tangent field on a manifold
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 5, 2019 at 7:32 | answer | added | Stefan Waldmann | timeline score: 2 | |
| Feb 4, 2019 at 20:24 | comment | added | Deane Yang | you probably want to figure out those cases first. It’s probably premature to ask it for a closed Riemannian manifold. My only thought is to thicken the manifold into a complex manifold. | |
| Feb 4, 2019 at 19:38 | comment | added | Alex M. | @DeaneYang: I don't know! On $\mathbb R^n$ one might define $[\exp (\mathrm i t X) f ] (x)$ as $f(x + itX)$ - a thing clearly impossible to do on arbitrary manifolds, and even on Lie groups. I would need to evaluate the flow of $X$ at imaginary times, and how would I do this? | |
| Feb 4, 2019 at 19:12 | comment | added | Deane Yang | Although it’s not compact, it might be worth first asking what the answer should be for $\mathbb{R}^n$. Or the flat torus. | |
| Feb 4, 2019 at 16:43 | history | asked | Alex M. | CC BY-SA 4.0 |