Timeline for Connection 1-form on a principal bundle, uniqueness of the separation of tangent space?
Current License: CC BY-SA 3.0
8 events
when toggle format | what | by | license | comment | |
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Sep 16, 2016 at 18:03 | answer | added | Paul Siegel | timeline score: 9 | |
Sep 16, 2016 at 17:57 | comment | added | Deane Yang | No. The connection is not unique, and different connections have different horizontal subspaces. | |
Sep 16, 2016 at 16:13 | comment | added | Chen Li | So for two connection one-forms ${\omega _1}$ and ${\omega _2}$ that satisfy condition 1 and 2, do they have the same kernel automatically? | |
Sep 16, 2016 at 15:37 | comment | added | Deane Yang | Yes. $H_uP$ is defined to be the space of all $X$ such that $\omega(X) = 0$. | |
Sep 16, 2016 at 15:29 | history | edited | Chen Li | CC BY-SA 3.0 |
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Sep 16, 2016 at 15:19 | history | edited | Chen Li | CC BY-SA 3.0 |
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Sep 16, 2016 at 15:13 | review | First posts | |||
Sep 16, 2016 at 15:32 | |||||
Sep 16, 2016 at 15:13 | history | asked | Chen Li | CC BY-SA 3.0 |