Global hyperbolicity in higher signatures
Autor: | Troubat, Roméo |
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Rok vydání: | 2024 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | We provide a generalization of global hyperbolicity in pseudo-Riemannian spaces of signature $(p, q)$ for $p \ge q \ge 2$. 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, we describe the topology of globally hyperbolic spaces in a result generalising Geroch's splitting theorem. |
Databáze: | arXiv |
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