On Plateau's problem for minimal surfaces of higher genus in ${\mathbf{R}}^3 $

DOI10.1090/S0273-0979-1985-15409-6zbMath0589.49026OpenAlexW2089157202WikidataQ126112235 ScholiaQ126112235MaRDI QIDQ3717711

Friedrich Tomi, Anthony J. Tromba

Publication date: 1985

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0273-0979-1985-15409-6

zbMATH Keywords

Plateau problemminimal surface of a given higher genus

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10)

Related Items

Unnamed Item, Morse-Conley theory for minimal surfaces of varying topological type, Boundary configurations spanning continua of minimal surfaces

Cites Work

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• Minimal surfaces of higher topological structure
• A Theory of Branched Immersions of Surfaces
• Solution of the Problem of Plateau
• Boundary regularity and embedded solutions for the oriented Plateau problem
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