The isoperimetric problem in complete surfaces of nonnegative curvature.

DOI10.1007/BF02922017zbMath1035.53085MaRDI QIDQ1608504

Manuel Ritoré

Publication date: 8 August 2002

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

zbMATH Keywords

isoperimetric inequalityisoperimetric problemisoperimetric profileisoperimetric domainconstant geodesic curvature

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Existence theories for free problems in two or more independent variables (49J10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (11)

Asymptotic dimension of planes and planar graphs ⋮ Cheeger constants of surfaces and isoperimetric inequalities ⋮ Isoperimetric inequalities in unbounded convex bodies ⋮ Existence and characterization of regions minimizing perimeter under a volume constraint inside Euclidean cones ⋮ The isoperimetric profile of infinite genus surfaces ⋮ The isoperimetric problemviadirect method in noncompact metric measure spaces with lower Ricci bounds ⋮ On clusters and the multi-isoperimetric profile in Riemannian manifolds with bounded geometry ⋮ The isoperimetric problem on Riemannian manifolds via Gromov–Hausdorff asymptotic analysis ⋮ Unique isoperimetric foliations of asymptotically flat manifolds in all dimensions ⋮ Isoperimetric inequalities in Euclidean convex bodies ⋮ On the existence of isoperimetric regions in manifolds with nonnegative Ricci curvature and Euclidean volume growth

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