Sharp Isoperimetric Inequalities for Small Volumes in Complete Noncompact Riemannian Manifolds of Bounded Geometry Involving the Scalar Curvature

DOI10.1093/imrn/rny131zbMath1489.53050arXiv1611.01638OpenAlexW3103901345WikidataQ115272846 ScholiaQ115272846MaRDI QIDQ5015579

Luis Eduardo Osorio Acevedo, Stefano Nardulli

Publication date: 9 December 2021

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.01638

zbMATH Keywords

scalar curvature injectivity radius Puiseux series isoperimetric comparison bounded Ricci curvature

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Optimization of shapes other than minimal surfaces (49Q10) Variational problems in infinite-dimensional spaces (58E99)

Related Items (6)

Isoperimetric sets in spaces with lower bounds on the Ricci curvature ⋮ Lusternik-Schnirelman and Morse theory for the van der Waals-Cahn-Hilliard equation with volume constraint ⋮ Some geometric inequalities for varifolds on Riemannian manifolds based on monotonicity identities ⋮ Multiplicity of solutions to the multiphasic Allen-Cahn-Hilliard system with a small volume constraint on closed parallelizable manifolds ⋮ Scalar curvature and the relative capacity of geodesic balls ⋮ Total curvature and the isoperimetric inequality in Cartan-Hadamard manifolds

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