3 citations · 3 across the 3 of their papers we have counts for
6 papers · 1 filter
A construction of Sbrana-Cartan hypersurfaces in the discrete class
Marcos Dajczer, Miguel Ibieta Jimenez
The classical classifications of the locally isometrically deformable Euclidean hypersurfaces obtained by U. Sbrana in 1909 and E. Cartan in 1916 includes four classes, among them…
Umbilical submanifolds of
M. I. Jimenez, R. Tojeiro
In this article we complete the classification of the umbilical submanifolds of a Riemannian product of space forms, addressing the case of a conformally flat product $\mathbb{H}^k…
Conformal infinitesimal variations of Euclidean hypersurfaces
M. Dajczer, M. I. Jimenez, Th. Vlachos
In the realm of conformal geometry, we give a classification of the Euclidean hypersurfaces that admit a non-trivial conformal infinitesimal variation. In the restricted case of co…
Conformal infinitesimal variations of submanifolds
M. Dajczer, M. I. Jimenez
This paper belongs to the realm of conformal geometry and deals with Euclidean submanifolds that admit smooth variations that are infinitesimally conformal. Conformal variations of…
Infinitesimal variations of submanifolds
M. Dajczer, M. I. Jimenez
This paper deals with the subject of infinitesimal variations of Euclidean submanifolds with arbitrary dimension and codimension. The main goal is to establish a Fundamental theore…
Infinitesimal bendings of complete Euclidean hypersurfaces
Miguel Ibieta Jimenez
A local description of the non-flat infinitesimally bendable Euclidean hypersurfaces was recently given by Dajczer and Vlachos \cite{DaVl}. From their classification, it follows th…