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Positive scalar curvature on foliations

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Publication:2358749
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DOI10.4007/annals.2017.185.3.9zbMath1404.53038arXiv1508.04503OpenAlexW2962689932MaRDI QIDQ2358749

Weiping Zhang

Publication date: 16 June 2017

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.04503


zbMATH Keywords

scalar curvaturefoliationConnes fibrationsub-Dirac operator


Mathematics Subject Classification ID

Foliations (differential geometric aspects) (53C12)


Related Items (10)

Nonnegative scalar curvature and area decreasing maps on complete foliated manifolds ⋮ Scalar curvature, Kodaira dimension and \({{\widehat{A}}} \)-genus ⋮ Positive scalar curvature and the Euler class ⋮ Enlargeability, foliations, and positive scalar curvature ⋮ Geometric non-commutative geometry ⋮ Lower bounds of Lipschitz constants on foliations ⋮ Roe \(C^*\)-algebra for groupoids and generalized Lichnerowicz vanishing theorem for foliated manifolds ⋮ The Godbillon-Vey invariant and equivariant \(KK\)-theory ⋮ Positive scalar curvature on foliations: the noncompact case ⋮ Seiberg-Witten equation on a manifold with rank-2 foliation




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