Intrinsic Timed Hausdorff Convergence and Its Implications
Differential Geometry
2026-05-29 v2 Metric Geometry
Abstract
Sakovich--Sormani introduced several notions of distance between certain classes of Lorentzian manifolds. These distances use the Hausdorff and Gromov-Hausdorff distances and therefore extend naturally to a broader class of spaces. Here we show that, for timed-metric-spaces, intrinsic timed-Hausdorff convergence implies (timeless) Gromov-Hausdorff convergence as well as big bang convergence, among other related implications for future-developed convergence.
Cite
@article{arxiv.2511.18389,
title = {Intrinsic Timed Hausdorff Convergence and Its Implications},
author = {Raquel Perales},
journal= {arXiv preprint arXiv:2511.18389},
year = {2026}
}
Comments
14 pages