Timeline for Invariant integration on principal bundles

9 events

when toggle format	what		by	license	comment
Dec 22, 2018 at 10:25	vote	accept	John von N.
Dec 20, 2018 at 19:56	comment	added	Liviu Nicolaescu		Let me ask next, once you have such an invariant measure what would you use it for?
Dec 20, 2018 at 18:21	comment	added	Liviu Nicolaescu		Give me a concrete example that interests you and I will attempt to give you a precise answer.
Dec 20, 2018 at 16:52	comment	added	John von N.		Also, if you have any references to textbooks or papers where this material is covered, I would appreciate it a lot.
Dec 20, 2018 at 16:48	comment	added	John von N.		Thank you! I will study your answer. If I understand correctly you consider here the group of automorphisms that fix the base space ("B-automorphisms"). What happens if we include more general ones? E.g. the one given by translation in $\mathbb{R}^n$ or left translation on $G$, where $G$ is viewed as a principal $H$ bundle? I guess an invariant measure still exists then?
Dec 20, 2018 at 14:06	history	edited	Liviu Nicolaescu	CC BY-SA 4.0	added 55 characters in body
Dec 20, 2018 at 12:23	comment	added	LSpice		I think you forgot the target of your Haar measure link. There are concepts of Haar-type measures for more exotic groups than locally compact ones, but they tend also to take more exotic values, and so maybe aren't appropriate here.
Dec 20, 2018 at 12:23	history	edited	LSpice	CC BY-SA 4.0	$\Aut(P)# -> $\Aut(P)$
Dec 20, 2018 at 11:58	history	answered	Liviu Nicolaescu	CC BY-SA 4.0