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On the isoperimetric rigidity of extrinsic minimal balls.

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Publication:1405247
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DOI10.1016/S0926-2245(02)00097-9zbMath1041.53040WikidataQ61978219 ScholiaQ61978219MaRDI QIDQ1405247

Vicente Palmer, Steen Markvorsen

Publication date: 25 August 2003

Published in: Differential Geometry and its Applications (Search for Journal in Brave)


zbMATH Keywords

isoperimetric inequalityminimal submanifoldmean exit timeextrinsic ball


Mathematics Subject Classification ID

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


Related Items (2)

Minimal webs in Riemannian manifolds ⋮ Volume growth, number of ends, and the topology of a complete submanifold




Cites Work

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  • On the mean exit time from a minimal submanifold
  • Heat Equations on Minimal Submanifolds and Their Applications
  • Volume of a small Extrinsic Ball in a Submanifold
  • Isoperimetric Inequalities for Extrinsic Balls in Minimal Submanifolds and their Applications
  • Generalized isoperimetric inequalities for extrinsic balls in minimal submanifolds
  • Isometric Immersions of Constant Mean Curvature and Triviality of the Normal Connection
  • Scalar Curvature, Inequality and Submanifold




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