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math.DG2005★ 2 cited
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…
math.DG2004
Isometric immersions in codimension two of warped products into space forms
M. Dajczer, R. Tojeiro
We provide a local classification of isometric immersions $f\colon L^p\times_ρM^n\to\Q_c^{p+n+k}$ in codimensions of warped products of Riemannian manifolds into space for…
math.DG2004★ 2 cited
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…