The isoperimetric inequality on a surface

DOI10.1007/s002290050193zbMath0967.53049OpenAlexW2033486867MaRDI QIDQ1805894

Peter Miles Topping

Publication date: 3 September 2001

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

Full work available at URL: https://doi.org/10.1007/s002290050193

zbMATH Keywords

areaEuler characteristicGaussian curvaturelength of boundarymultiply connected surface

Mathematics Subject Classification ID

Integral geometry (53C65)

Related Items (12)

Ricci flows with bursts of unbounded curvature ⋮ Symmetry and isoperimetry for Riemannian surfaces ⋮ Some geometric inequalities related to Liouville equation ⋮ Ricci flows with unbounded curvature ⋮ The isoperimetric inequality for convex subsets of the sphere ⋮ Unique isoperimetric foliations of asymptotically flat manifolds in all dimensions ⋮ Minimal surfaces and Schwarz lemma ⋮ On the Hamilton's isoperimetric ratio in complete Riemannian manifolds of finite volume ⋮ Minimizers of a weighted maximum of the Gauss curvature ⋮ Dirac eigenvalue estimates on two-tori ⋮ The isoperimetric problem on surfaces of revolution of decreasing Gauss curvature ⋮ The isoperimetric problem in complete surfaces of nonnegative curvature.

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