Given a manifold it is natural to ask what are the "best" possible metrics it admits. One way to look at this question is to look at the metrics with the least amount of curvature. In this talk, we will consider metrics that minimize certain curvature functionals and we will explore some of their properties with a focus on dimension 4.
Graduate Student Geometry-Topology Seminar
Monday, October 5, 2015 - 3:00pm
Martin Citoler-Saumell
University of Pennsylvania