The Ricci soliton equation arises naturally as a generalization of the Einstein equation and in the study of Ricci flow. The work of Hamilton, Ivey, and Perelman gives a complete classification in dimension 3 of shrinking gradient Ricci solitons. We will discuss several different conditions on curvature and symmetry that allows us to classify these objects in higher dimensions. This is joint work with Peter Petersen
Geometry-Topology Seminar
Thursday, September 25, 2008 - 4:30pm
William Wylie
University of Pennsylvania