38 citations · 74 across the 14 of their papers we have counts for
Showing 2009Show all
2 papers · 1 filter
math.DG2009
Parabolic submanifolds of rank two
Marcos Dajczer, Pedro Morais
The goal of this paper is to classify parametrically parabolic submanifolds in any codimension. First, we describe the ones that are ruled and show that they are the only parabolic…
math.DG2009★ 1 cited
Isometric rigidity in codimension two
Marcos Dajczer, Pedro Morais
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]…