The Plateau problem in Alexandrov spaces

DOI10.4310/jdg/1287580967zbMath1250.53066OpenAlexW1545204718WikidataQ115171161 ScholiaQ115171161MaRDI QIDQ616683

Patrick R. Zulkowski, Chikako Mese

Publication date: 12 January 2011

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jdg/1287580967

zbMATH Keywords

Alexandrov spacesPlateau problemarea minimizing disk

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometric aspects of harmonic maps (53C43) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45)

Related Items (5)

Area minimizing surfaces of bounded genus in metric spaces ⋮ Area minimizing surfaces in homotopy classes in metric spaces ⋮ The Plateau-Douglas problem for singular configurations and in general metric spaces ⋮ Regularity of harmonic discs in spaces with quadratic isoperimetric inequality ⋮ Area minimizing discs in metric spaces

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