Asymptotically Euclidean metrics without conjugate points are flat
Differential Geometry
2022-12-26 v1 Dynamical Systems
Abstract
We prove that any asymptotically Euclidean metric on with no conjugate points must be isometric to the Euclidean metric.
Cite
@article{arxiv.1909.01488,
title = {Asymptotically Euclidean metrics without conjugate points are flat},
author = {Colin Guillarmou and Marco Mazzucchelli and Leo Tzou},
journal= {arXiv preprint arXiv:1909.01488},
year = {2022}
}
Comments
45 pages