Almost every curve in \(R^3\) bounds a unique area minimizing surface

DOI10.1007/BF01403171zbMath0378.49028OpenAlexW2060634676MaRDI QIDQ1246900

Frank Morgan

Publication date: 1978

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142547

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Variational problems in a geometric measure-theoretic setting (49Q20)

Related Items

A survey of the geometric results in the classical theory of minimal surfaces, Generic uniqueness of shortest closed geodesics, Generic uniqueness of optimal transportation networks, Generic uniqueness for the Plateau problem, Calibrations and the size of Grassmann faces, Harmonic maps with fixed singular sets, Uniqueness of area minimizing surfaces for extreme curves, Unnamed Item, Measures on spaces of surfaces, Configuration spaces, multijet transversality, and the square-peg problem

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