Graduate Seminar
Evolution of an extended Ricci flow system
Bernhard List
2 Jan 2006, 16:00 – 18:00
By extending the Ricci Flow with a scalar function I obtain a new PDE system whose stationary points are static Einstein vacuum metrics. I show how this system can be derived from a variational principle which allows me, following recent ideas of G. Perelman, to deduce a noncollapsing result for the flow. The second major tool I want to present are local interior a priori estimates for solutions. Together these two ingredients imply results on long time existence and on the singularity structure of the flow and further information with regard to asymptotically flat manifolds in General Relativity.
http://geometricanalysis.mi.fu-berlin.de/os/os-ws0506.htm
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