Measures on spaces of Riemannian metrics

Joint IAS/PU Geometry Seminar
Topic:Measures on spaces of Riemannian metrics
Speaker:Dmitry Jakobson
Affiliation:McGill University
Date:Monday, July 21
Time/Room:4:00pm - 5:00pm/S-101
Video Link:http://video.ias.edu/pisgs/2014/0721-DmitryJakobson

This is joint work with Y. Canzani, B. Clarke, N. Kamran, L. Silberman and J. Taylor. We construct Gaussian measure on the manifold of Riemannian metrics with the fixed volume form. We show that diameter and Laplace eigenvalue and volume entropy functionals are all integrable with respect to our measures. We also compute the characteristic function for the \(L^2\) (Ebin) distance from a random metric to the reference metric.