Local isoperimetric inequalities for sectors on surfaces and cones

DOI10.1007/S10114-005-0826-8zbMath1126.53011OpenAlexW2029739791MaRDI QIDQ2644362

Javier Orengo Valverde, Fernando Giménez

Publication date: 31 August 2007

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0826-8

zbMATH Keywords

conessolid angleisoperimetric

Mathematics Subject Classification ID

Local Riemannian geometry (53B20)

Related Items (1)

On the isoperimetric inequality and surface diffusion flow for multiply winding curves

Cites Work

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• Volume estimate for a cone with a submanifold as vertex
• Isoperimetric inequalities for sectors in the Minkowski 2-spacetime
• Total curvatures of convex hypersurfaces in hyperbolic space
• Isoperimetric inequalities and conjugate points on Lorentzian surfaces
• The sharp isoperimetric inequality for minimal surfaces with radially connected boundary in hyperbolic space
• A generalization of the method of interior parallels, and isoperimetric inequalities for membranes with partially free boundaries
• Isoperimetric regions in cones
• Isoperimetric inequalities for sectors on surfaces

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