Isometric rigidity in codimension two
Differential Geometry
2009-04-01 v1
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.
Cite
@article{arxiv.0903.5528,
title = {Isometric rigidity in codimension two},
author = {Marcos Dajczer and Pedro Morais},
journal= {arXiv preprint arXiv:0903.5528},
year = {2009}
}
Comments
14 pages. To appear in Mich. Math. J