Scalar curvature rigidity theorems for the upper hemisphere

<p>In this dissertation we study scalar curvature rigidity phenomena for the upper hemisphere, and subsets thereof. In particular, we are interested in Min-Oo's conjecture that there exist no metrics on the upper hemisphere having scalar curvature greater or equal to that of the standard...

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Bibliographic Details
Main Author: Cox, Graham
Other Authors: Bray, Hubert L
Published: 2011
Subjects:
Online Access:http://hdl.handle.net/10161/5699