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arxiv: 1010.4973 · v1 · pith:XYCDOGQSnew · submitted 2010-10-24 · 🧮 math.DG

On Deformable Minimal Hypersurfaces in Space Forms

classification 🧮 math.DG
keywords curvaturehypersurfacesminimalclassificationcompletegauss-kroneckerspacevanishing
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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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