NONNEGATIVELY CURVED FIXED-POINT HOMOGENEOUS MANIFOLDS IN LOW DIMENSIONS

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Date
2009
Authors
Galaz Garcia, Fernando
Advisor
Grove, Karsten
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Abstract
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.
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http://hdl.handle.net/1903/9132
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UMD Theses and Dissertations
Mathematics Theses and Dissertations