Lorentzian Gromov-Hausdorff theory and finiteness results
Olaf M\"uller
TL;DR
This paper develops a Lorentzian Gromov-Hausdorff theory and establishes finiteness results by connecting Lorentzian and Riemannian manifolds through a functor.
Contribution
It introduces a functorial approach linking Lorentzian and Riemannian geometries to prove finiteness theorems.
Findings
Finiteness results for classes of Lorentzian manifolds
A new functorial method connecting Lorentzian and Riemannian geometries
Insights into the structure of Lorentzian Gromov-Hausdorff limits
Abstract
Via a functor from certain Lorentzian to Riemannian manifolds, we obtain a finiteness result.
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