Timeline for When does an open manifold admit two linearly independent vector fields?
Current License: CC BY-SA 4.0
5 events
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Aug 13, 2020 at 17:36 | vote | accept | Cihan | ||
Jun 28, 2020 at 18:03 | comment | added | Cihan | I see. It is a theorem of Massey that $w_{d-1}(M) = 0$ whenever $d \equiv 3 \pmod{4}$ with $M$ is orientable and closed. I think we can drop the closed assumption by arguing that $w_{d-1}$ still vanishes because it vanishes on compact submanifolds. Thus there is always a $2$-field in this case. | |
Jun 28, 2020 at 4:42 | history | edited | Panagiotis Konstantis | CC BY-SA 4.0 |
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Jun 28, 2020 at 3:27 | history | edited | Panagiotis Konstantis | CC BY-SA 4.0 |
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Jun 27, 2020 at 21:11 | history | answered | Panagiotis Konstantis | CC BY-SA 4.0 |