Arithmetic manifolds of positive scalar curvature

DOI10.4310/jdg/1214425281zbMath1027.53034OpenAlexW1558052775WikidataQ115193732 ScholiaQ115193732MaRDI QIDQ1591508

Shmuel Weinberger, Jonathan L. Block

Publication date: 11 January 2004

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214425281

zbMATH Keywords

latticesemisimple Lie groupirreducibilitysurgerylocally symmetric spacearithmetic group\(\mathbb Q\)-rankuniformly positive scalar curvature

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Discrete subgroups of Lie groups (22E40) Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

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Modular Symbols and the Topological Nonrigidity of Arithmetic Manifolds ⋮ A Fixed point theorem for periodic maps on locally symmetric manifolds ⋮ Contractible manifolds with exotic positive scalar curvature behavior ⋮ A relative higher index theorem, diffeomorphisms and positive scalar curvature ⋮ Higher invariants in noncommutative geometry ⋮ Taming 3-manifolds using scalar curvature ⋮ Metrics with positive scalar curvature at infinity and localization algebra ⋮ Degree theorems and Lipschitz simplicial volume for nonpositively curved manifolds of finite volume ⋮ Positive scalar curvature and a new index theory for noncompact manifolds

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