Timeline for Integration and Stokes' theorem for vector bundle-valued differential forms?
Current License: CC BY-SA 4.0
11 events
| when toggle format | what | by | license | comment | |
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| Dec 14, 2022 at 8:09 | history | edited | Martin Sleziak | CC BY-SA 4.0 |
http -> https (the question was bumped anyway)
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| Nov 8, 2022 at 21:35 | answer | added | cheyne | timeline score: 3 | |
| Apr 27, 2015 at 3:13 | answer | added | Alan U. Kennington | timeline score: 6 | |
| Aug 13, 2010 at 9:53 | vote | accept | gspr | ||
| Aug 12, 2010 at 12:18 | answer | added | Joel Fine | timeline score: 42 | |
| Aug 12, 2010 at 10:53 | comment | added | gspr | Oh, and I meant of course "coming from our connection on $E$", not $M$. Corrected. General MO question: Is it customary to add comments (such as what I just wrote) when one edits, or should the edit list speak for itself? | |
| Aug 12, 2010 at 10:49 | history | edited | gspr | CC BY-SA 2.5 |
I meant of course connection on $E$, not on $M$.
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| Aug 12, 2010 at 10:39 | comment | added | gspr | Thanks skupers. Edited to include a connection on $M$. Also I think the rest of your comment makes sense and reassures me that everything is OK. | |
| Aug 12, 2010 at 10:38 | history | edited | gspr | CC BY-SA 2.5 |
Equipped $M$ with a connection. Thanks to skupers' comment.
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| Aug 12, 2010 at 10:32 | comment | added | skupers | You want a connection on $E$ as well, right? Otherwise $d\omega$ doesn't make sense, see e.g. staff.science.uu.nl/~ban00101/anman2009/lectures-10-11-12.pdf. Since connections are locally trivial and vector-valued one-forms can locally be written as vector of ordinary one-forms, I think the usual proof of Stokes by localizing with a partition of unity and treating two basic cases ($\mathbb{R}^n$ and a half plane) should work. | |
| Aug 12, 2010 at 10:24 | history | asked | gspr | CC BY-SA 2.5 |