Plateau's problem in Finsler 3-space

DOI10.1007/s00229-013-0626-xzbMath1297.49074arXiv1209.2327OpenAlexW2171247766MaRDI QIDQ2248942

Heiko von der Mosel, Patrick Overath

Publication date: 27 June 2014

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.2327

zbMATH Keywords

isoperimetric inequalityPlateau problemBusemann-Hausdorff volume formCartan functionalFinsler \(3\)-spacesFinsler area

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Optimization of shapes other than minimal surfaces (49Q10) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Non-Euclidean differential geometry (53A35) Local Riemannian geometry (53B20) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)

Related Items (7)

Area minimizing surfaces of bounded genus in metric spaces ⋮ Area minimizing surfaces in homotopy classes in metric spaces ⋮ On minimal immersions in Finsler space ⋮ The plateau problem for the Busemann-Hausdorff area in arbitrary codimension ⋮ The Plateau-Douglas problem for singular configurations and in general metric spaces ⋮ Area minimizing discs in metric spaces ⋮ Majorization by hemispheres and quadratic isoperimetric constants

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