19 citations · 23 across the 5 of their papers we have counts for
5 papers
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…
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…
Conformal de Rham decomposition of Riemannian manifolds
Ruy Tojeiro
We prove conformal versions of the local decomposition theorems of de Rham and Hiepko of a Riemannian manifold as a Riemannian or a warped product of Riemannian manifolds. Namely,…
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…
Copolarity of isometric actions
Claudio Gorodski, Carlos Olmos, Ruy Tojeiro
We introduce a new integral invariant for isometric actions of compact Lie groups, the copolarity. Roughly speaking, it measures how far from being polar the action is. We generali…