The isoperimetric problem in higher codimension

DOI10.1007/s00229-012-0604-8zbMath1279.49030arXiv1203.3304OpenAlexW1971342057WikidataQ125357667 ScholiaQ125357667MaRDI QIDQ382243

Frank Morgan, Isabel M. C. Salavessa

Publication date: 18 November 2013

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

Full work available at URL: https://arxiv.org/abs/1203.3304

zbMATH Keywords

area minimizationmean curvature vectormulti-volumeisoperimetric problem

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Variational problems in a geometric measure-theoretic setting (49Q20) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Optimization of shapes other than minimal surfaces (49Q10)

Cites Work

• Stability of submanifolds with parallel mean curvature in calibrated manifolds
• A note on the stability theorem of J. L. Barbosa and M. do Carmo for closed surfaces of constant mean curvature
• Measures on spaces of surfaces
• On the existence of integral currents with prescribed mean curvature vector
• Stability of hypersurfaces with constant mean curvature
• Area-minimizing integral currents with movable boundary parts of prescribed mass
• On integral currents with constant mean curvature
• \(\lambda\) minimizing currents
• Minimal cones and the Bernstein problem
• On the first variation of a varifold
• Existence of surfaces with prescribed mean curvature vector
• A sufficient criterion for a cone to be area-minimizing
• Submanifolds with Constant Mean Curvature
• An isoperimetric inequality for the thread problem
• On boundary regularity for Plateau's problem
• 𝑄 valued functions minimizing Dirichlet’s integral and the regularity of area minimizing rectifiable currents up to codimension two
• Perimeter-minimizing curves and surfaces in \(\mathbf R^n\) enclosing prescribed multi-volume
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The isoperimetric problem in higher codimension