4 citations · 16 across the 25 of their papers we have counts for
5 papers · 2 filters
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)…
Complete minimal submanifolds with nullity in the hyperbolic space
M. Dajczer, Th. Kasioumis, A. Savas-Halilaj +1
We investigate complete minimal submanifolds $f\colon M^3\to\Hy^n$ in hyperbolic space with index of relative nullity at least one at any point. The case when the ambient space is…
Complete minimal submanifolds with nullity in Euclidean spheres
M. Dajczer, Th. Kasioumis, A. Savas-Halilaj +1
In this paper we investigate -dimensional complete minimal submanifolds in Euclidean spheres with index of relative nullity at least at any point. These are austere subman…
Topological obstructions for submanifolds in low codimension
Christos-Raent Onti, Theodoros Vlachos
We prove integral curvature bounds in terms of the Betti numbers for compact submanifolds of the Euclidean space with low codimension. As an application, we obtain topological obst…
The infinitesimally bendable Euclidean hypersurfaces
M. Dajczer, Th. Vlachos
The main purpose of this paper is to complete the work initiated by Sbrana in 1909 giving a complete local classification of the nonflat infinitesimally bendable hypersurfaces in E…