|Joint IAS/PU Geometry Seminar|
|Topic:||Measures on spaces of Riemannian metrics|
|Date:||Monday, July 21|
|Time/Room:||4:00pm - 5:00pm/S-101|
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.