Minimal Disks and Compact Hypersurfaces in Euclidean Space

DOI10.2307/2045398zbMath0574.53038OpenAlexW4252622454MaRDI QIDQ3694214

John Douglas Moore, Thomas Schulte

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/2045398

zbMATH Keywords

harmonic mapminimal surfacesprincipal curvaturesoutside of a hypersurface

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40)

Related Items (8)

Index estimates for minimal surfaces and $k$-convexity ⋮ Nonexistence of some complete stable minimal submanifolds ⋮ The existence of \(k\)-convex hypersurface with prescribed mean curvature ⋮ Homotopy type of manifolds with partially horoconvex boundary ⋮ Unnamed Item ⋮ Droplet Footprint Control ⋮ P-convex Riemannian manifolds ⋮ Sharp eigenvalue bounds and minimal surfaces in the ball

Cites Work

• Unnamed Item
• Topology of three dimensional manifolds and the embedding problems in minimal surface theory
• On the Existence and Nonexistence of Stable Submanifolds and Currents in Positively Curved Manifolds and the Topology of Submanifolds in Euclidean Spaces
• Behavior of minimal surfaces with free boundaries
• Minimal Surfaces Spanning Closed Manifolds

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