Complete minimal hypersurfaces in the hyperbolic space ${\mathbb{H}}^4$ with vanishing Gauss-Kronecker curvature

Abstract

We investigate 3-dimensional complete minimal hypersurfaces in the hyperbolic space ${\mathbb{H}}^4$ 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.

References in corpus (1)

• Complete minimal hypersurfaces of $S^4$ with zero Gauss-Kronecker curvature

Cited by in corpus (3)

• On Deformable Minimal Hypersurfaces in Space Forms
• Complete minimal submanifolds with nullity in the hyperbolic space
• Complete minimal submanifolds with nullity in Euclidean space