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Isoperimetric balls in cones over tori

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Publication:1024790
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DOI10.1007/s10455-008-9126-8zbMath1171.53040OpenAlexW2157520319WikidataQ125773003 ScholiaQ125773003MaRDI QIDQ1024790

Frank Morgan

Publication date: 17 June 2009

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10455-008-9126-8


zbMATH Keywords

isoperimetriccone over torus


Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Optimization of shapes other than minimal surfaces (49Q10)


Related Items (2)

Lower bounds for isoperimetric profiles and Yamabe constants ⋮ Isoperimetric estimates in low-dimensional Riemannian products



Cites Work

  • Unnamed Item
  • In polytopes, small balls about some vertex minimize perimeter
  • The Isoperimetric Problem on Surfaces
  • Isoperimetric regions in cones
  • Isoperimetric domains in the Riemannian product of a circle with a simply connected space form and applications to free boundary problems


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