Global hyperbolicity in higher signatures
Differential Geometry
2025-12-23 v2 Geometric Topology
Abstract
We provide a generalization of global hyperbolicity in pseudo-Riemannian spaces of signature (p, q) for p ___ q ___ 2. We then prove the compactness of causal diamonds in globally hyperbolic spaces and deduce the existence of solutions to a Plateau problem for this class of spaces. Finally, caracterize GH-regular representations in SO(p,q+1) as holonomies of some globally hyperbolic spaces modeled on H^{p,q}.
Keywords
Cite
@article{arxiv.2411.19519,
title = {Global hyperbolicity in higher signatures},
author = {Roméo Troubat},
journal= {arXiv preprint arXiv:2411.19519},
year = {2025}
}