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Graduate Student Geometry-Topology Seminar

Wednesday, April 9, 2008 - 11:00am

Pilar Herreros

Penn

Location

University of Pennsylvania

4C6 DRLB

We all know that any surface that admits a metric of negative curvature also admits a metric of constant curvature -1, but what about higher dimensions? I will show that this is not true in general by constructing manifolds of negative sectional curvature that admits no metric of curvature K=-1.