Tuesday, October 10, 2017 - 4:30pm
UPenn
University of Pennsylvania
DRL 4N30
We will prove an upper bound for the sum of the Betti numbers of a complex projective manifold in terms of its total curvature. These results extend the classic theorems of Chern and Lashof to a new setting. This is an update of a recent talk in the Graduate Student Geometry Topology Seminar.