Timeline for Introducing connection on principal bundle as lifting of vector field and paths
Current License: CC BY-SA 4.0
11 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| S Oct 28, 2019 at 21:00 | history | bounty ended | CommunityBot | ||
| S Oct 28, 2019 at 21:00 | history | notice removed | CommunityBot | ||
| S Oct 20, 2019 at 19:21 | history | bounty started | Praphulla Koushik | ||
| S Oct 20, 2019 at 19:21 | history | notice added | Praphulla Koushik | Authoritative reference needed | |
| Oct 20, 2019 at 3:05 | comment | added | Praphulla Koushik | @WillieWong I am reading that notes. It looks good to me :) thanks for sharing... I will ask if I have any specific questions | |
| Oct 20, 2019 at 2:43 | comment | added | Willie Wong | You don't lose anything. Look at the notes I linked to. On the level of fibred manifolds, a connection is pretty much equivalent to a horizontal distribution (see Definitions 12 and 13). On $G$ bundles you would want the distribution to be $G$ invariant in the obvious way. | |
| Oct 20, 2019 at 2:36 | comment | added | Praphulla Koushik | @WillieWong it is discussed in Kobayashi and Nomizu but it was not introduced in that way... so, looking for some suggestions on what I lose if I introduce in this way.. | |
| Oct 19, 2019 at 15:40 | comment | added | Willie Wong | One can certainly introduce the notion of connections (not just on principle bundles, but more generally on fibred manifolds) through lifts. I know that this is discussed in Kobayashi-Nomizu. I have some notes which may or may not be relevant for your discussion (since I don't really care about $G$ bundles there). | |
| Oct 18, 2019 at 18:31 | history | edited | Praphulla Koushik | CC BY-SA 4.0 |
added 87 characters in body
|
| Oct 18, 2019 at 18:29 | comment | added | Praphulla Koushik | I am not very sure if I have written down clearly, may be I am assuming something but didn’t mention here. I am not 100% sure if this is suitable here, but I will leave it as it is.. if users think I should move to MSE, I am ok with it,, | |
| Oct 18, 2019 at 18:25 | history | asked | Praphulla Koushik | CC BY-SA 4.0 |