9 papers · 1 filter
On Einstein submanifolds of Euclidean space
M. Dajczer, C. -R. Onti, Th. Vlachos
Let the warped product , , of Riemannian manifolds be an Einstein manifold with Ricci curvature that admits an isometric immersion into…
A class of Einstein submanifolds of Euclidean space
M. Dajczer, C. -R. Onti, Th. Vlachos
In this paper we give local and global parametric classifications of a class of Einstein submanifolds of Euclidean space. The highlight is for submanifolds of codimension two since…
On constant curvature submanifolds of space forms
M. Dajczer, C. -R. Onti, Th. Vlachos
We prove a converse to well-known results by E. Cartan and J. D. Moore. Let $f\colon M^n_c\to\Q^{n+p}_{\tilde c}$ be an isometric immersion of a Riemannian manifold with constant s…
Isometric immersions with flat normal bundle between space forms
M. Dajczer, C. -R. Onti, Th. Vlachos
We investigate the behavior of the second fundamental form of an isometric immersion of a space form with negative curvature into a space form so that the extrinsic curvature is ne…
On Complete Conformally flat submanifolds with nullity in Euclidean space
Christos-Raent Onti
In this note, we investigate conformally flat submanifolds of Euclidean space with positive index of relative nullity. Let be a complete conformally flat manifold and let $f\…
Classification of conformally flat isoparametric submanifolds of Euclidean space
Christos-Raent Onti
In this note we provide a direct proof of the complete classification of conformally flat isoparametric submanifolds of Euclidean space.