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    The fundamental group of non-negatively curved manifolds


    Wraith, David (1998) The fundamental group of non-negatively curved manifolds. Irish Mathematical Society Bulletin, 40. pp. 35-45. ISSN 0791-5578

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    Abstract

    The aim of this article is to offer a brief survey of an interesting, yet accessible line of research in Differential Geometry. A fundamental problem of mathematics is to understand the relationship between the geometry and topology of manifolds. The geometry of a manifold is determined by a Riemannian metric, that is, a smoothly varying inner product on the tangent bundle. Altering the Riemannian metric on a given manifold alters the way in which it curves. It is natural, therefore, to ask to what extent the possible curvatures of a manifold determine and are determined by its topology. Note that all manifolds are assumed to be Riemannian, smooth, complete and without boundary.

    Item Type: Article
    Keywords: geometry; non-negatively curved manifolds;
    Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
    Item ID: 10079
    Depositing User: Dr. David Wraith
    Date Deposited: 05 Oct 2018 16:37
    Journal or Publication Title: Irish Mathematical Society Bulletin
    Publisher: Irish Mathematical Society
    Refereed: Yes
    URI:

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