# Generalized Gauss map

Given a surface M in Euclidean space, we have the generalized-Gauss-map G, i.e. map the tangent spaces into the Grassmannian G(2,n). What is the relation between DG and the second fundamental form of M, and the Gauss curvature?

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Sorry about deleting my answer so quickly but I pushed the preview button while the page was jumping around due to rendering and I missed! Full answer available soon I hope! –  drbobmeister Feb 23 '11 at 7:33
Damn! Did it again. Very sorry! Answer almost ready. –  drbobmeister Jun 9 '11 at 23:36
I was just very tired. –  drbobmeister Jun 9 '11 at 23:41