A positive mass theorem for non-smooth metrics on asymptotically flat manifolds with non-compact boundary
Differential Geometry
2025-06-26 v1
Abstract
On a smooth asymptotically flat Riemannian manifold with non-compact boundary, we prove a positive mass theorem for metrics which are only continuous across a compact hypersurface. As an application, we obtain a positive mass theorem on manifolds with non-compact corners.
Keywords
Cite
@article{arxiv.2506.20453,
title = {A positive mass theorem for non-smooth metrics on asymptotically flat manifolds with non-compact boundary},
author = {Sergio Almaraz and Shaodong Wang},
journal= {arXiv preprint arXiv:2506.20453},
year = {2025}
}