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Addendum and erratum to ``On the structure of the fundamental group of manifolds with positive scalar curvature'' - MaRDI portal

Addendum and erratum to ``On the structure of the fundamental group of manifolds with positive scalar curvature'' (Q2856996)

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scientific article; zbMATH DE number 6221352
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English
Addendum and erratum to ``On the structure of the fundamental group of manifolds with positive scalar curvature''
scientific article; zbMATH DE number 6221352

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    31 October 2013
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    positive scalar curvature
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    positive isotropic curvature, fundamental group
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    Addendum and erratum to ``On the structure of the fundamental group of manifolds with positive scalar curvature'' (English)
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    An error in an earlier paper [Bull. Korean Math. Soc. 48, No. 1, 129--140 (2011; Zbl 1222.53039)] is corrected by noting that one needs to add an extra condition to the hypothesis of Theorem 1.2 in that paper.NEWLINENEWLINEAdditionally, a new result is proved: The fundamental group of a closed oriented \(4\)-dimensional Riemannian manifold with positive isotropic curvature does not contain a subgroup isomorphic to the fundamental group of a compact Riemann surface of genus greater than or equal to 2.
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