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Gauss map, topology, and convexity of hypersurfaces with nonvanishing curvature

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Publication:5952746
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DOI10.1016/S0040-9383(00)00028-8zbMath0993.57009MaRDI QIDQ5952746

Mohammad Ghomi

Publication date: 19 September 2002

Published in: Topology (Search for Journal in Brave)


zbMATH Keywords

Gauss-Kronecker curvatureMeeks's conjectureminimal hypersurfaces


Mathematics Subject Classification ID

Embeddings and immersions in topological manifolds (57N35) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Surfaces in Euclidean and related spaces (53A05)


Related Items (7)

Complete linear Weingarten surfaces of Bryant type. A Plateau problem at infinity ⋮ A nonlinear projection theorem for Assouad dimension and applications ⋮ The convex hull property and topology of hypersurfaces with nonnegative curvature. ⋮ Topology of negatively curved real affine algebraic surfaces ⋮ Affine unfoldings of convex polyhedra ⋮ Directed immersions of closed manifolds ⋮ Topology of Riemannian submanifolds with prescribed boundary




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