Geometry & Topology Seminar: Marked boundary rigidity and Anosov extension

Abstract: In this talk we will show how a sufficiently small geodesic ball in any Riemannian manifold can be embedded into an Anosov manifold with the same dimension. Furthermore, such embedding exists for a larger family of domains even with hyperbolic trapped sets. We will also present some application to marked length spectrum rigidity. This is a joint work with Alena Erchenko and Andrey Gogolev.

Host: Yanli Song