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    Complete nonnegatively curved spheres and planes

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    HU-DISSERTATION-2015.pdf (298.3Kb)
    Date
    2015-06-02
    Author
    Hu, Jing
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    Abstract
    We study the space of complete Riemannian metrics of nonnegative curvature on the sphere equipped with C^{k+\alpha} topology. We show the space is homogenous for k>=2. If k is infinite, we show that the space is homeomorphic to the separable Hilbert space. We also prove for finite k, the space minius any compact subset is weakly contractible.
    URI
    http://hdl.handle.net/1853/53898
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    • Georgia Tech Theses and Dissertations [22398]
    • School of Mathematics Theses and Dissertations [399]

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