A pr 2 00 9 Parabolic submanifolds of rank two

Abstract

An immersed submanifold f :M → R , n ≥ 3, into Euclidean space with the induced metric is called of rank two if at any point the kernel of its vector valued second fundamental form has codimension two. Equivalently, we have that the image of the Gauss map in the Grassmannian of non-oriented n-planes Gn is a surface. These submanifolds have been the object… (More)

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