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Volume growth and positive scalar curvature

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Publication:1589999
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DOI10.1007/PL00001639zbMath0979.53033OpenAlexW2008449445MaRDI QIDQ1589999

Guihua Gong, Guo-Liang Yu

Publication date: 17 February 2002

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00001639

zbMATH Keywords

Dirac operatorpositive scalar curvatureBaum-Connes conjecturezero-in-the-spectrum conjecturebounded geometrysubexponential volume growthhyperspherical manifoldGromov's conjecturemacroscopically large Riemannian manifoldRiemannian spin geometryRoe's coarse homology theoryuniformly contractible Riemannian manifold


Mathematics Subject Classification ID

Spin and Spin({}^c) geometry (53C27) Global Riemannian geometry, including pinching (53C20)


Related Items

The coarse geometric Novikov conjecture and uniform convexity, Macroscopic dimension and essential manifolds, The equivariant coarse Novikov conjecture and coarse embedding, Nonpositive curvature is not coarsely universal, Rough index theory on spaces of polynomial growth and contractibility



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