Isometric rigidity in codimension two
Pedro Morais | Dajczer, Marcos
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 of Dajczer and Florit that these submanifolds are genuinly rigid. In addition, we give a parametric classifications of all parabolic submanifolds.