4 citations · 6 across the 6 of their papers we have counts for
6 papers
Isometric Euclidean submanifolds with isometric Gauss maps
Marcos Dajczer, Miguel I. Jimenez, Theodoros Vlachos
We investigate isometric immersions , , of Riemannian manifolds into Euclidean space with codimension two that admit isometric deformations that pr…
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…
Conformal Kaehler Euclidean submanifolds
A. de Carvalho, S. Chion, M. Dajczer
Let , , denote a conformal immersion into Euclidean space with codimension of a Kaehler manifold of complex dimension an…
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…
Euclidean hypersurfaces with a totally geodesic foliation of codimension one
M. Dajczer, V. Rovenski, R. Tojeiro
We classify the hypersurfaces of Euclidean space that carry a totally geodesic foliation with complete leaves of codimension one. In particular, we show that rotation hypersurfaces…