Timeline for Does their exist something like L^2 Mapping spaces to general manifolds?
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 18, 2018 at 19:23 | comment | added | Piotr Hajlasz | @Netivolu I honestly don't know. The problem is that since the mappings are not necessarily continuous, you cannot localize them in a coordinate chart in the image. | |
| Apr 18, 2018 at 13:01 | comment | added | Netivolu | Well i wondered if you could construct a manifold (Hilbert, Banach, Frechet) structure on those $L^2$ spaces | |
| Apr 18, 2018 at 12:35 | comment | added | Piotr Hajlasz | @Netivolu I am not sure what you mean by a tangent space. I am not sure if $L^2(C,M)$ has a Banach manifold structure. | |
| Apr 18, 2018 at 11:40 | comment | added | Netivolu | Thank you for this reference. We can define the tangent space in the usual sense i presume? | |
| Apr 18, 2018 at 11:32 | vote | accept | Netivolu | ||
| Apr 18, 2018 at 11:32 | vote | accept | Netivolu | ||
| Apr 18, 2018 at 11:32 | |||||
| Apr 17, 2018 at 14:23 | history | answered | Piotr Hajlasz | CC BY-SA 3.0 |