Minimal Surfaces with Constant Gauss Curvature

DOI10.2307/2038397zbMath0252.53007OpenAlexW4247430417MaRDI QIDQ5665857

Bang-Yen Chen

Publication date: 1972

Full work available at URL: https://doi.org/10.2307/2038397

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Global submanifolds (53C40) Local submanifolds (53B25)

Related Items (8)

A minimal immersion of the hyperbolic plane into the neutral pseudo-hyperbolic 4-space and its characterization ⋮ Differential geometry of submanifolds ⋮ Constant mean curvature isometric immersions into \(\mathbb{S}^2\times\mathbb{R}\) and \(\mathbb{H}^2\times\mathbb{R}\) and related results ⋮ Differential geometry of submanifolds with planar normal sections ⋮ A note on pseudo-umbilical surfaces ⋮ Complete classification of parallel spatial surfaces in pseudo-Riemannian space forms with arbitrary index and dimension ⋮ On stability and index of minimal submanifolds ⋮ Submanifolds with geodesic normal sections

Cites Work

• Complete minimal surfaces in Euclidean \(n\)-spaces
• Local rigidity theorems for minimal hypersurfaces
• Some remarks on minimal submanifolds
• Minimal immersions of spheres into spheres
• Isometric imbedding of complex manifolds

This page was built for publication: Minimal Surfaces with Constant Gauss Curvature