Positive scalar curvature on foliations: the noncompact case (Q2094589)

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scientific article; zbMATH DE number 7613363
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English
Positive scalar curvature on foliations: the noncompact case
scientific article; zbMATH DE number 7613363

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    Positive scalar curvature on foliations: the noncompact case (English)
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    8 November 2022
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    The article is based on prior work on positive scalar curvature by the second author. The main result is a generalization of a result by \textit{M. Gromov} and \textit{H. B. Lawson jun.} [Ann. Math. (2) 111, 209--230 (1980; Zbl 0445.53025)] claiming that spin enlargeable manifolds do not admit a uniform positive lower bound of their scalar curvature. The generalization holds for non-compact manifolds and without the assumption of completeness.
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    positive scalar curvature
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    foliations
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    enlargeable Riemannian manifolds
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