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Graduate Student Geometry-Topology Seminar

Monday, February 13, 2017 - 3:15pm

Thomas Brooks

University of Pennsylvania


University of Pennsylvania


Curvature homogeneous manifolds "have the same curvature tensor at each point", loosely speaking. We survey some background on curvature homogeneous spaces to see some classical results. Then we look at the question of what 3 dimensional curvature homogeneous manifolds with a non-trivial kernel of their curvature tensor look like and conjecture a classification of these.