Isometric rigidity in codimension two

Details Isometric rigidity in codimension two Isometric rigidity in codimension two

2009-03-31

arxiv.org/abs/0903.5528v1

Mathematics

Differential Geometry

14 pages. To appear in Mich. Math. J

Scientific paper

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.

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