Timeline for Prove that the holonomies along any two homotopic paths are the same if the curvature of the connection vanishes [closed]
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11 events
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| Jul 10, 2015 at 8:29 | comment | added | Sebastian | Dear QIAOJIAXIN, your question is not research level, and you should be able to extract the answer from any differential geometry book dealing with the Frobenius theorem, e.g. Lee's "Manifolds and Differential Geometry". | |
| Jul 10, 2015 at 8:24 | comment | added | Sebastian | Dear Dimitri, I think this is not only too complicated, but also circular in the following sense: In order to prove Theorem 4.4. and Lemma 4.5 you have (at some point) to prove a (stronger) version of the assertion, see for example Proposition 3.8 in the mentioned paper. | |
| Jul 9, 2015 at 9:40 | vote | accept | QIAOJIAXIN | ||
| Jul 9, 2015 at 9:36 | vote | accept | QIAOJIAXIN | ||
| Jul 9, 2015 at 9:40 | |||||
| Jul 8, 2015 at 16:31 | history | closed |
Alex Degtyarev Yoav Kallus Johannes Hahn Stefan Kohl♦ abx |
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| Jul 8, 2015 at 16:09 | answer | added | Compactness | timeline score: 1 | |
| Jul 8, 2015 at 16:06 | comment | added | Dmitri Pavlov | This follows immediately from the nonabelian Stokes theorem, see Theorem 4.4 and Lemma 4.5 in Schreiber and Waldorf's “Smooth functors vs. differential forms” (dx.doi.org/10.4310/HHA.2011.v13.n1.a7). | |
| Jul 8, 2015 at 14:25 | review | Close votes | |||
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| Jul 8, 2015 at 14:15 | review | Low quality posts | |||
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| Jul 8, 2015 at 14:03 | review | First posts | |||
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| Jul 8, 2015 at 14:00 | history | asked | QIAOJIAXIN | CC BY-SA 3.0 |