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    Positive Ricci Curvature on Highly Connected Manifolds


    Crowley, Diarmuid and Wraith, David (2016) Positive Ricci Curvature on Highly Connected Manifolds. Journal of Differential Geometry. ISSN 0022-040X (Submitted)

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    Abstract

    For k≥2, let M4k−1 be a (2k−2)-connected closed manifold. If k≡1 mod 4 assume further that M is (2k−1)-parallelisable. Then there is a homotopy sphere Σ4k−1 such that M♯Σ admits a Ricci positive metric. This follows from a new description of these manifolds as the boundaries of explicit plumbings.

    Item Type: Article
    Additional Information: This is the preprint version of the forthcoming article.
    Keywords: Positive Ricci curvature; manifolds;
    Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
    Item ID: 6973
    Identification Number: arXiv:1404.7446
    Depositing User: Dr. David Wraith
    Date Deposited: 18 Feb 2016 17:02
    Journal or Publication Title: Journal of Differential Geometry
    Publisher: International Press
    Refereed: Yes
    URI:

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