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Nov 12, 2021 at 9:41 comment added AThomas Thanks for your reply. We can assume $M$ to be compact. But I don't see how the Whitney inverse says anything about the connection. Since the sum gives a trivial bundle we can use the standard derivative. But does it induce the given connection on the initial bundle?
Nov 11, 2021 at 11:04 history answered Tsemo Aristide CC BY-SA 4.0