Special Session 172: Stochastic and geometric analysis on manifolds and metric measure spaces

Stochastic perturbation of geodesics on the space of Riemannian metrics
Ana Bela Cruzeiro
Instituto Superior Tecnico
Portugal
Co-Author(s):    Ali Suri
Abstract:
The evolution equation on the manifold of Riemannian metrics for the action functional associated with the L2 stochastic kinetic energy is derived.