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Complete minimal hypersurfaces in the hyperbolic space H4 with vanishing Gauss-Kronecker curvature

T. Hasanis, A. Savas-Halilaj, T. Vlachos

math.DGarXiv:math/0504011

Abstract

We investigate 3-dimensional complete minimal hypersurfaces in the hyperbolic space H4 with Gauss-Kronecker curvature identically zero. More precisely, we give a classification of complete minimal hypersurfaces with Gauss-Kronecker curvature identically zero, nowhere vanishing second fundamental form and scalar curvature bounded from below.

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