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http://hdl.handle.net/1903/9132
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| Title: | NONNEGATIVELY CURVED FIXED-POINT HOMOGENEOUS MANIFOLDS IN LOW DIMENSIONS |
| Authors: | Galaz Garcia, Fernando |
| Advisors: | Grove, Karsten |
| Department/Program: | Mathematics |
| Type: | Dissertation |
| Sponsors: | Digital Repository at the University of Maryland
University of Maryland (College Park, Md.) |
| Keywords: | 0405
Mathematics
action, curvature, isometric, manifold, nonnegative, Riemannian |
| Issue Date: | 2009 |
| 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. |
| URI: | http://hdl.handle.net/1903/9132 |
| Appears in Collections: | UMD Theses and Dissertations
Mathematics Theses and Dissertations
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