Extending minimal varieties

DOI10.1007/BF01425557zbMath0316.49032OpenAlexW2025123855MaRDI QIDQ1221305

F. Reese Harvey, H. Blaine jun. Lawson

Publication date: 1975

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

Full work available at URL: https://eudml.org/doc/142322

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) Length, area, volume, other geometric measure theory (28A75) Variational methods for second-order elliptic equations (35J20)

Related Items

Constant mean curvature spheres in homogeneous three-spheres, The existence of \(G\)-invariant constant mean curvature hypersurfaces, Higher dimensional Schwarz's surfaces and Scherk's surfaces, The Gauss--Green theorem and removable sets for PDEs in divergence form, Superforms, supercurrents, minimal manifolds and Riemannian geometry, Surfaces of constant curvature in \(\mathbb R^3\) with isolated singularities, Min-max theory for free boundary G-invariant minimal hypersurfaces, Structure theorems for singular minimal laminations, Multiplicity one for min-max theory in compact manifolds with boundary and its applications, Compactification of the space of Hamiltonian stationary Lagrangian submanifolds with bounded total extrinsic curvature and volume, On the regularity of Hamiltonian stationary Lagrangian submanifolds, On the multiplicity one conjecture in min-max theory, Min-max theory for free boundary minimal hypersurfaces. I: Regularity theory, Non-existence, non-uniqueness and irregularity of solutions to the minimal surface system, Colloquium lectures on geometric measure theory, Globally subanalytic CMC surfaces in ℝ³ with singularities, Min-max theory for constant mean curvature hypersurfaces

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