4 papers
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.
Einstein submanifolds with flat normal bundle in space forms are holonomic
M. Dajczer, C. -R. Onti, Th. Vlachos
A well-known result asserts that any isometric immersion with flat normal bundle of a Riemannian manifold with constant sectional curvature into a space form is (at least locally)…
Einstein submanifolds with parallel mean curvature
Christos-Raent Onti
We provide a classification of Einstein submanifolds in space forms with flat normal bundle and parallel mean curvature. This extends a previous result due to Dajczer and Tojeiro f…