2 citations · 4 across the 5 of their papers we have counts for
5 papers
The holomorphic Gauss Parametrization
Marcos Dajczer, Luis A. Florit
We give a local parametric description of all holomorphic hypersurfaces in complex Euclidean and projective spaces with constant index of relative nullity, together with applicatio…
Genuine deformations of submanifolds II:the conformal case
Luis A. Florit, Ruy Tojeiro
We extend to the conformal realm the concept of genuine deformations of submanifolds, introduced by Dajczer and the first author for the isometric case. Analogously to that case, w…
Complete real Kahler submanifolds in codimension two
Luis A. Florit, Fangyang Zheng
Minimal isometric immersions F in codimension two from a complete Kahler manifold into Euclidean space had been classified for dimension greater than or equal to 3. In this note we…
The vectorial Ribaucour transformation for submanifolds and applications
L. Florit, M. Dajczer, R. Tojeiro
In this paper we develop the vectorial Ribaucour transformation for Euclidean submanifolds. We prove a general decomposition theorem showing that under {appropriate} conditions the…
Reducibility of Dupin submanifolds
Marcos Dajczer, Luis A. Florit, Ruy Tojeiro
We introduce the notion of weak reduciblity for Dupin submanifolds with arbitrary codimension. We give a complete characterization of all weakly reducible Dupin submanifolds, as a…