DIFFERENTIAL GEOMETRY AND GEOMETRIC ANALYSIS SEMINAR

10/30/2009

Lan-Hsuan Huang
Columbia University

Center of mass and constant mean curvature foliations in general relativity

We will discuss the existence and uniqueness of the foliation by stable spheres with constant mean curvature for asymptotically flat manifolds satisfying the Regge-Teitelboim condition at infinity. We will first introduce the background and then discuss how the foliation relates to the concept of center of mass in general relativity.