Complete nonnegatively curved spheres and planes
Author(s)
Hu, Jing
Advisor(s)
Belegradek, Igor
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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.
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Date
2015-06-02
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Text
Resource Subtype
Dissertation