Inradius bounds for stable, minimal surfaces in 3-manifolds with positive scalar curvature

Concrete topological properties of a manifold can be found by examining its geometry. Theorem 17 of his thesis, due to Myers [Mye41], is one such example of this; it gives an upper bound on the length of any minimizing geodesic in a manifold N in terms of a lower positive bound on the Ricci curvatur...

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Bibliographic Details
Main Author: Richardson, James
Language:English
Published: University of British Columbia 2012
Online Access:http://hdl.handle.net/2429/42368