Asymptotically Euclidean metrics without conjugate points are flat

Abstract

We prove that any asymptotically Euclidean metric on ${\mathbb{R}}^n$ with no conjugate points must be isometric to the Euclidean metric.

45 pages

References in corpus (2)

• A stability version of Hölder's inequality
• X-Ray Transform in Asymptotically Conic Spaces