Mean curvature flow in Lorentzian space times

Abstract: Hypersurfaces of zero or constant mean curvature play a central role in the proof of the Positive Mass Theorem and also in the analysis of the Cauchy problem for asymptotically flat space-times. Mean curvature flow can be a tool to construct such hypersurfaces. We discuss local existence of the flow for non-compact space-like hypersurfaces in Robertson-Walker space-times. This is a joint project with Giuseppe Gentile.

differential geometrydynamical systemsgeometric topologysymplectic geometry

Audience: researchers in the topic

Geometry and Dynamics seminar

Series comments: On the week of the seminar, an announcement with the Zoom link is mailed to the seminar mailing list. To receive these e-mails, please sign up by writing to Lev Buhovsky (http://www.math.tau.ac.il/~levbuh/).