Timeline for Find weak approximation by smooth unit vector fields for Sobolev fields on manifold
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Mar 20, 2022 at 10:12 | comment | added | flukx | I just noticed that at least in dimension 2 there are not so many interesting cases. If there exists no smooth unit tangent field (e.g. Sphere), then the question is obviously moot. If it exists, you can take the orthogonal complement in each point and algebraic topology tells us that we can choose one of the two orientations. Then you have a global frame and my idea nr. 3 works by $U = M$.($TM$ is trivial.) But are there compact simply-connected 2-manifolds apart from sphere and a subset of $ℝ^2$? | |
| Mar 19, 2022 at 19:51 | comment | added | flukx | In case of interest: the master thesis which needs this is found here: hilsky.de/masterarbeitsrepo | |
| S Mar 19, 2022 at 19:50 | review | First questions | |||
| Mar 19, 2022 at 20:59 | |||||
| S Mar 19, 2022 at 19:50 | history | asked | flukx | CC BY-SA 4.0 |