4 citations · 7 across the 11 of their papers we have counts for
12 papers
Deformable hypersurfaces of
Miguel Ibieta Jimenez, Ruy Tojeiro
We investigate the deformable hypersurfaces of the conformally flat Riemannian products , , of hyperbolic space and a sphere…
Ricci pinched compact hypersurfaces in spheres
Marcos Dajczer, Miguel I. Jimenez, Theodoros Vlachos
We investigate the topology of the compact hypersurfaces in round spheres whose Ricci curvature satisfies an appropriate bound that only depends on the mean curvature of the subman…
The infinitesimal deformations of hypersurfaces that preserve the Gauss map
Marcos Dajczer, Miguel Ibieta Jimenez
Classifying the nonflat hypersurfaces in Euclidean space that locally admit smooth infinitesimal deformations that preserve the Gauss map infinites…
Infinitesimally Moebius bendable hypersurfaces
M. I. Jimenez, R. Tojeiro
Li, Ma and Wang have provided in [\emph{Deformations of hypersurfaces preserving the Möbius metric and a reduction theorem}, Adv. Math. 256 (2014), 156--205] a partial classificati…
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…
On the Moebius deformable hypersurfaces
M. I. Jimenez, R. Tojeiro
In the article [\emph{Deformations of hypersurfaces preserving the Möbius metric and a reduction theorem}, Adv. Math. 256 (2014), 156--205], Li, Ma and Wang investigated the intere…
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…
Genuine infinitesimal bendings of submanifolds
M. Dajczer, M. I. Jimenez
A basic question in submanifold theory is whether a given isometric immersion of a Riemannian manifold of dimension into Euclidean space with low…
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…