Area Bounds for Various Classes of Surfaces

DOI10.2307/2373775zbMath0326.53030OpenAlexW2333872200MaRDI QIDQ4091036

Robert Osserman, Herbert J. Alexander

Publication date: 1975

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2373775

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Variational problems in a geometric measure-theoretic setting (49Q20) Inequalities and extremum problems involving convexity in convex geometry (52A40) Surfaces in Euclidean and related spaces (53A05) Local submanifolds (53B25) Complex manifolds (32Q99)

Related Items (9)

Superforms, supercurrents, minimal manifolds and Riemannian geometry ⋮ Minimal hypersurfaces and geometric inequalities ⋮ Moving-centre monotonicity formulae for minimal submanifolds and related equations ⋮ Area bounds for minimal surfaces that pass through a prescribed point in a ball ⋮ Lindelöf's principle and estimates for holomorphic functions involving area, diameter or integral means ⋮ Some remarks on the isoperimetric inequality and a problem of Gehring ⋮ Doubly-connected minimal surfaces ⋮ On the proof of the positive mass conjecture in general relativity ⋮ An Area Theorem for Holomorphic Functions

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