4 citations · 16 across the 25 of their papers we have counts for
33 papers
A topological sphere theorem for submanifolds of the hyperbolic space
M. Dajczer, Th. Vlachos
We identify as topological spheres those complete submanifolds lying with any codimension in hyperbolic space whose Ricci curvature satisfies a lower bound contingent solely upon t…
Ricci pinched compact submanifolds in space forms
Marcos Dajczer, Theodoros Vlachos
We investigate the compact submanifolds in Riemannian space forms of nonnegative sectional curvature that satisfy a lower bound on the Ricci curvature, that bound depending solely…
Ricci pinched compact submanifolds in spheres
Marcos Dajczer, Theodoros Vlachos
We investigate the topology of the compact submanifolds in round spheres that satisfy a lower bound on the Ricci curvature depending only on the length of the mean curvature vector…
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…
Homology vanishing theorems for pinched submanifolds
Christos-Raent Onti, Theodoros Vlachos
We investigate the geometry and topology of submanifolds under a sharp pinching condition involving extrinsic invariants like the mean curvature and the length of the second fundam…
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…