Joint Seminar

Felix Lubbe and Andreas Hermann

16:15-17:15	Felix Lubbe (Universität Hamburg)	A Stability result for Mean Curvature Flow in Lorentzian Manifolds Given a Riemannian manifold M with bounded geometry, we consider its (graphical) mean curvature flow inside the Lorentzian product manifold RxM. If the initial graph is uniformly space-like and the solution has bounded geometry, these conditions are preserved under the mean curvature flow. Furthermore, if M=RxN, we obtain a convergence result for the flow using barriers. This is joint work with Klaus Kröncke, Oliver Lindblad-Petersen, Áron Szabó, Wolfgang Maurer, Oliver Schnürer, Tobias Marxen and Wolfgang Meiser.
17:45-18:45	Andreas Hermann (Universität Potsdam)	The mass of a compact Riemannian manifold Let (M,g) be a compact Riemannian manifold without boundary. Assume that the conformal Laplace operator L acting on smooth functions on M is strictly positive and that the metric g is flat on an open neighborhood of a point p in M. Then the mass m(g,p) of (M,g) at the point p is defined as the constant term in the expansion of the Green function of L at p. We prove a variational characterization of m(g,p) and give some applications to the ADM mass of an asymptically flat Riemannian manifold. This is joint work with Emmanuel Humbert.

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