19 citations · 37 across the 8 of their papers we have counts for
4 papers · 1 filter
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…
Isothermic submanifolds of Euclidean space
Ruy Tojeiro
We study the problem posed by F. Burstall of developing a theory of isothermic Euclidean submanifolds of dimension greater than or equal to three. As a natural extension of the def…