On Deformable Minimal Hypersurfaces in Space Forms

Mathematics – Differential Geometry

Scientific paper

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Scientific paper

The aim of this paper is to complete the local classification of minimal
hypersurfaces with vanishing Gauss-Kronecker curvature in a 4-dimensional space
form. Moreover, we give a classification of complete minimal hypersurfaces with
vanishing Gauss-Kronecker curvature and scalar curvature bounded from below.

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