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math.DG2017
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…
math.DG2017★ 1 cited
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…
math.DG2016
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…