Conformal mappings and the Plateau-Douglas problem in Riemannian manifolds.

DOI10.1515/crll.1985.359.37zbMath0568.49025OpenAlexW1529455681WikidataQ115236817 ScholiaQ115236817MaRDI QIDQ3684730

Juergen Jost

Publication date: 1985

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002202514

zbMATH Keywords

direct methodconformal representationsPlateau-Douglas problemexistence of a two-dimensional minimal surfacehomogeneously regular Riemann manifoldprescribed genus and connectivity

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Global Riemannian geometry, including pinching (53C20) Connected and locally connected spaces (general aspects) (54D05) Extremal problems for conformal and quasiconformal mappings, variational methods (30C70)

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