Asymptotically Euclidean metrics without conjugate points on R^n are flat

Abstract: We show that Riemannian metrics on R^n that are asymptotic to the Euclidean metrics to order O(1/|x|^3) and that have no conjugate points must be isometric to the flat metric. This is joint work with M. Mazzucchelli and L. Tzou.

Mathematics

Audience: researchers in the topic

International Zoom Inverse Problems Seminar, UC Irvine