Timeline for nowhere vanishing vector field on a manifold
Current License: CC BY-SA 2.5
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 24, 2010 at 8:59 | comment | added | Pengfei | To Ryan: I added a comment in the question since I could change lines there. | |
| Nov 24, 2010 at 4:35 | comment | added | Ryan Budney | As a manifold $TM$ is always orientable, yes. But I was thinking of orientability in the bundle sense, ie $TM$ orientable if and only if $M$ is orientable. | |
| Nov 24, 2010 at 3:48 | comment | added | Dylan Wilson | Specifically: it seems like if you pull back any atlas of $M$ you'll get an oriented atlas of $TM$ since the differentials of the transition maps will be triangular block matrices with the two matrices on the diagonal being the same. | |
| Nov 24, 2010 at 3:44 | comment | added | Dylan Wilson | Isn't $TM$ always orientable? | |
| Nov 24, 2010 at 3:11 | history | answered | Ryan Budney | CC BY-SA 2.5 |