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edited title
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When does the normal bundle of a submanifold of $R^n$ Euclidean space admit a flat connection? |
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When does the normal bundle of a submanifold of $R^n$ admit a flat connection?Given a smooth submanifold of $R^n$, I was wondering if there is a reasonably simple criterion for deciding whether its normal bundle admits a flat connection. I am not ruling out monodromy in the statement of the question (thus for example, a Moebius strip immersed in $R^3$ fits the bill.)
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