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arXiv · 0903.5528

Isometric rigidity in codimension two

Marcos Dajczer·Pedro Morais
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Abstract

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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Marcos Dajczer, Pedro Morais. 2009-03-31. Isometric rigidity in codimension two. https://arxiv.org/abs/0903.5528

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