Marked boundary rigidity and Anosov extension

Ergodic Theory/Probability Seminar
Thu, March 31, 2022
3:00 pm - 4:00 pm
MW 154

Title:  Marked boundary rigidity and Anosov extension

Speaker:  Dong Chen (Penn State)

Speaker's URL:  https://sites.psu.edu/dongchenmath/

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 applications to boundary rigidity and related open questions. This is a joint work with Alena Erchenko and Andrey Gogolev.

URL associated with Seminar:  https://u.osu.edu/ergodictheory/