Convex hulls of complete minimal surfaces

DOI10.1007/BF01451417zbMath0528.53009MaRDI QIDQ787108

Frederico Xavier

Publication date: 1984

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163929

zbMATH Keywords

complete minimal surfaceLusin area integralCalabi problemgaussian curvature

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10)

Related Items (11)

Half-space theorems for the Allen-Cahn equation and related problems ⋮ On the asymptotic behavior of a complete bounded minimal surface in ℝ³ ⋮ Bi-Halfspace and Convex Hull Theorems for Translating Solitons ⋮ Domains without parabolic minimal submanifolds and weakly hyperbolic domains ⋮ On a Conjecture of Nitsche ⋮ ON MINIMAL SURFACES SATISFYING THE OMORI–YAU PRINCIPLE ⋮ Intersection of minimal surfaces of bounded curvature ⋮ A martingale approach to minimal surfaces ⋮ The classical theory of minimal surfaces ⋮ On harmonic quasiconformal immersions of surfaces in $\mathbb {R}^3$ ⋮ On the structure of complete simply connected embedded minimal surfaces

Cites Work

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• A complete minimal surface in \(R^ 3\) between two parallel planes
• An inequality between the exterior diameter and the mean curvature of bounded immersions
• A Complete Bounded Complex Submanifold of C 3
• The geometry of $G$-structures
• A Function-Theoretic Identity

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