The sharp isoperimetric inequality for minimal surfaces with radially connected boundary in hyperbolic space

DOI10.1007/BF01232035zbMath0776.53042WikidataQ125823158 ScholiaQ125823158MaRDI QIDQ1803378

Robert Gulliver, Jaigyoung Choe

Publication date: 29 June 1993

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/144029

zbMATH Keywords

minimal surfaceisoperimetric inequalityhyperbolic space

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Integral geometry (53C65)

Related Items

Isoperimetric type inequalities on submanifolds in rotation-symmetric spaces, Local isoperimetric inequalities for sectors on surfaces and cones, Mean curvature flow with free boundary in embedded cylinders or cones and uniqueness results for minimal hypersurfaces, A sharp isoperimetric property of the renormalized area of a minimal surface in hyperbolic space, Weighted monotonicity theorems and applications to minimal surfaces of ℍⁿ and 𝕊ⁿ, Relative isoperimetric inequality for minimal submanifolds in a Riemannian manifold, Isoperimetric inequalities on minimal submanifolds of space forms, Submanifolds, isoperimetric inequalities and optimal transportation, Shortest closed curve to inspect a sphere, Sharp isoperimetric inequalities for stationary varifolds and area minimizing flat chains \(\text{mod} k\), Area bounds for free boundary minimal surfaces in a geodesic ball in the sphere

Cites Work

• Complete minimal varieties in hyperbolic space
• Least area surfaces can have excess triple points
• A bridge principle for minimal and constant mean curvature submanifolds of \(R^ N\)
• Isoperimetric inequalities on minimal submanifolds of space forms
• Doubly-connected minimal surfaces
• Isoperimetrische Ungleichungen für Bereiche auf Flächen
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