Relative isoperimetric inequality for minimal submanifolds in a Riemannian manifold

DOI10.1155/2010/758623zbMath1186.53074OpenAlexW2057812284WikidataQ59251296 ScholiaQ59251296MaRDI QIDQ962523

Juncheol Pyo

Publication date: 7 April 2010

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/227476

zbMATH Keywords

sectional curvatureconvex set

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Cites Work

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• Complete minimal varieties in hyperbolic space
• Isoperimetric inequalities on minimal submanifolds of space forms
• Relative isoperimetric inequality and linear isoperimetric inequality for minimal submanifolds
• The sharp isoperimetric inequality for minimal surfaces with radially connected boundary in hyperbolic space
• The relative isoperimetric inequality outside convex domains in \(\mathbb{R}^{n}\)
• The relative isoperimetric inequality in Cartan-Hadamard 3-manifolds
• The isoperimetric inequality for minimal surfaces in a Riemannian manifold

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