Sharp Isoperimetric Inequalities for Small Volumes in Complete Noncompact Riemannian Manifolds of Bounded Geometry Involving the Scalar Curvature
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Publication:5015579
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
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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