4 citations · 16 across the 25 of their papers we have counts for
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math.DG2020
Isometric immersions with flat normal bundle between space forms
M. Dajczer, C. -R. Onti, Th. Vlachos
We investigate the behavior of the second fundamental form of an isometric immersion of a space form with negative curvature into a space form so that the extrinsic curvature is ne…
math.DG2020★ 3 cited
Conformal infinitesimal variations of Euclidean hypersurfaces
M. Dajczer, M. I. Jimenez, Th. Vlachos
In the realm of conformal geometry, we give a classification of the Euclidean hypersurfaces that admit a non-trivial conformal infinitesimal variation. In the restricted case of co…
math.DG2020
On the mean curvature of submanifolds with nullity
A. E. Kanellopoulou, Th. Vlachos
In this paper, we investigate geometric conditions for isometric immersions with positive index of relative nullity to be cylinders. There is an abundance of noncylindrical -dim…