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arXiv · 2411.19519

Global hyperbolicity in higher signatures

Roméo Troubat
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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}.

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Roméo Troubat. 2024-11-29. Global hyperbolicity in higher signatures. https://arxiv.org/abs/2411.19519

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