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The Isoperimetric Inequality on Asymptotically Flat Manifolds with Nonnegative Scalar Curvature

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Publication:4560556
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DOI10.1093/imrn/rnv395zbMath1404.53049arXiv1503.02350OpenAlexW3105058450MaRDI QIDQ4560556

Yuguang Shi

Publication date: 12 December 2018

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

Full work available at URL: https://arxiv.org/abs/1503.02350



Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) PDEs on manifolds (35R01)


Related Items (6)

Large isoperimetric regions in asymptotically hyperbolic manifolds ⋮ The isoperimetric problemviadirect method in noncompact metric measure spaces with lower Ricci bounds ⋮ Rigidity of Hawking mass for surfaces in three manifolds ⋮ The isoperimetric problem on Riemannian manifolds via Gromov–Hausdorff asymptotic analysis ⋮ Isoperimetry for asymptotically flat 3-manifolds with positive ADM mass ⋮ Uniqueness of the mean field equation and rigidity of Hawking mass




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