Isometric rigidity in codimension two
Abstract
Description
We show that among the Euclidean submanifolds with codimension two the ones of rank two that are parabolic but nonruled are isometrically rigid. This generalizes the result in [10] that these submanifolds are genuinely rigid. In addition, we give a parametric classifications of all parabolic submanifolds.
14 pages. To appear in Mich. Math. J
14 pages. To appear in Mich. Math. J