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    Surgery on Ricci positive manifolds


    Wraith, David (1998) Surgery on Ricci positive manifolds. Journal für die reine und angewandte Mathematik, 501. pp. 99-113. ISSN 0075-4102

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    Abstract

    We consider performing surgery on Riemannian manifolds with positive Ricci curvature. We find conditions under which the resulting manifold also admits a positive Ricci curvature metric. These conditions involve dimension and the form taken by the metric in a neighbourhood of the surgery.
    Item Type: Article
    Additional Information: This is the preprint version of the published article, which is available at DOI: https://doi.org/10.1515/crll.1998.082
    Keywords: positive Ricci curvature; surgery;
    Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
    Item ID: 10078
    Identification Number: 10.1515/crll.1998.082
    Depositing User: Dr. David Wraith
    Date Deposited: 05 Oct 2018 16:26
    Journal or Publication Title: Journal für die reine und angewandte Mathematik
    Publisher: de Gruyter
    Refereed: Yes
    URI: https://mural.maynoothuniversity.ie/id/eprint/10078
    Use Licence: This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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