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    On the Jacobi Equation and Manifolds with Multiple Conjugate Points


    Burns, J.M. and Staunton, E. and Wraith, David (2013) On the Jacobi Equation and Manifolds with Multiple Conjugate Points. Mathematical Proceedings of the Royal Irish Academy, 113A (1). pp. 19-30.

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    Official URL: http://www.jstor.org/stable/23464537


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    Abstract

    We investigate the phenomenon of multiple conjugate points along a geodesic. In the first instance, we investigate conjugate points in the context of the Jacobi equation, a second order ordinary differential equation, which captures precisely the geometry of conjugate points on surfaces. We then construct geometric examples which exhibit similar properties in higher dimensions.

    Item Type: Article
    Additional Information: This is the preprint version of the published article, which is available at http://www.jstor.org/stable/23464537
    Keywords: conjugate points; geodesics; Jacobi equation; Riemannian manifolds;
    Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
    Item ID: 6971
    Depositing User: Dr. David Wraith
    Date Deposited: 18 Feb 2016 17:03
    Journal or Publication Title: Mathematical Proceedings of the Royal Irish Academy
    Publisher: Royal Irish Academy
    Refereed: Yes
    URI:

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