38 citations · 101 across the 47 of their papers we have counts for
52 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…
The second fundamental form of the real Kaehler submanifolds
Marcos Dajczer, Sergio Chion
Let , , be an isometric immersion of a Kaehler manifold into Euclidean space. Yan and Zheng conjectured in \cite{YZ} that if the codime…
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 construction of Sbrana-Cartan hypersurfaces in the discrete class
Marcos Dajczer, Miguel Ibieta Jimenez
The classical classifications of the locally isometrically deformable Euclidean hypersurfaces obtained by U. Sbrana in 1909 and E. Cartan in 1916 includes four classes, among them…