Geometric Analysis Working Seminar

Thursday, May 5, 2016 2:00 pm - 2:00 pm EDT

Jonathan Herman, Department of Pure Mathematics, University of Waterloo

“The Variational Lemma and Einstein equation”

We will work through section 8 of the Lee/Parker paper on the Yamabe problem. In particular, we will show how the vacuum Einstein equations arise from the first variation of the Einstein-Hilbert action. We’ll then restrict this variation to asymptotically flat metrics, from which we will get the geometric quantities needed to state the positive mass theorem.

M3 3103