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Grove, Karsten Galaz Garcia, Fernando Digital Repository at the University of Maryland University of Maryland (College Park, Md.) Mathematics 2009-07-02T05:37:47Z 2009-07-02T05:37:47Z 2009 http://hdl.handle.net/1903/9132 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. 419691 bytes application/pdf en_US NONNEGATIVELY CURVED FIXED-POINT HOMOGENEOUS MANIFOLDS IN LOW DIMENSIONS Dissertation Mathematics action curvature isometric manifold nonnegative Riemannian open.access