When does the normal bundle of a submanifold of Euclidean space admit a flat connection? - MathOverflow most recent 30 from http://mathoverflow.net2013-05-25T11:29:38Zhttp://mathoverflow.net/feeds/question/34586http://www.creativecommons.org/licenses/by-nc/2.5/rdfhttp://mathoverflow.net/questions/34586/when-does-the-normal-bundle-of-a-submanifold-of-euclidean-space-admit-a-flat-connWhen does the normal bundle of a submanifold of Euclidean space admit a flat connection?Hari2010-08-05T06:36:49Z2010-08-05T06:56:35Z
<p>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.)</p>