NONNEGATIVELY CURVED FIXED-POINT HOMOGENEOUS MANIFOLDS IN LOW DIMENSIONS

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Date
2009Author
Galaz Garcia, Fernando
Advisor
Grove, Karsten
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Show full item recordAbstract
We classify fixed-point homogeneous Riemannian manifolds
in dimensions 3 and 4 and determine which nonnegatively curved simply-connected
4-manifolds admit a smooth fixed-point homogeneous circle action with a given orbit
space structure.