The isoperimetric problem for lens spaces

DOI10.1007/s00208-018-1792-7zbMath1418.53069arXiv1702.05816OpenAlexW2905336431WikidataQ125733473 ScholiaQ125733473MaRDI QIDQ2423421

Celso Viana

Publication date: 21 June 2019

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.05816

zbMATH Keywords

geodesic sphereslarge fundamental groupisoperimetric surfacequotients of Clifford tori

Mathematics Subject Classification ID

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

Related Items (6)

Lower bounds for isoperimetric profiles and Yamabe constants ⋮ Linear stability implies nonlinear stability for Faber-Krahn-type inequalities ⋮ Isoperimetry and volume preserving stability in real projective spaces ⋮ Distributions of distances and volumes of balls in homogeneous lens spaces ⋮ Index one minimal surfaces in spherical space forms ⋮ Isoperimetric estimates in low-dimensional Riemannian products

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