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    On a theorem of Ambrose


    Wraith, David (2006) On a theorem of Ambrose. Journal of the Australian Mathematical Society (Series A), 81 (2). pp. 149-152. ISSN 1446-7887

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    Abstract

    Riccati inequality involving the Ricci curvature can be used to deduce many interesting results about the geometry and topology of manifolds. In this note we use it to present a short alternative proof to a theorem of Ambrose.
    Item Type: Article
    Keywords: Riccati inequality; Ricci curvature; manifolds;
    Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
    Item ID: 10075
    Identification Number: 10.1017/S1446788700015780
    Depositing User: Dr. David Wraith
    Date Deposited: 05 Oct 2018 15:43
    Journal or Publication Title: Journal of the Australian Mathematical Society (Series A)
    Publisher: Cambridge University Press
    Refereed: Yes
    URI: https://mural.maynoothuniversity.ie/id/eprint/10075
    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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