How can we recover an Ehresmann connection on a general fiber bundle (as a horizontal distribution) knowing only its induced parallel transport?
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This is the type of question that I like, but hope I got it correct as short it is formulated. The answer should be directly over here and particularly see references over there >>>here
answered Jul 29, 2013 at 19:23
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$\begingroup$ Thank you for your answer. However this seems to be limited to vector bundles whereas I am interested in arbitrary general fiber bundles. $\endgroup$ Jul 29, 2013 at 21:37
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$\begingroup$ Got it. This is however a very exotic generalisation. Let me be back if I find something. $\endgroup$ Jul 30, 2013 at 18:11