4 citations · 16 across the 25 of their papers we have counts for
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Almost conformally flat hypersurfaces
Christos-Raent Onti, Theodoros Vlachos
We prove a universal lower bound for the -norm of the Weyl tensor in terms of the Betti numbers for compact -dimensional Riemannian manifolds that are conformally immer…
On the moduli space of isometric surfaces with the same mean curvature in 4-dimensional space forms
Kleanthis Polymerakis, Theodoros Vlachos
We study the moduli space of congruence classes of isometric surfaces with the same mean curvature in 4-dimensional space forms. Having the same mean curvature means that there exi…
Complete minimal submanifolds with nullity in Euclidean space
M. Dajczer, Th. Kasioumis, A. Savas-Halilaj +1
In this paper, we investigate minimal submanifolds in Euclidean space with positive index of relative nullity. Let be a complete Riemannian manifold and let $f\colon M^m\to\R…
A class of minimal submanifolds in spheres
Marcos Dajczer, Theodoros Vlachos
We introduce a class of minimal submanfolds , , in spheres that are ruled by totally geodesic spheres of dimension . If simply-connected, such…