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Null Distance and Convergence of Lorentzian Length Spaces by Michael Kunzinger; Roland Steinbauer is a scholarly article available to read on EtoBox.

What is Null Distance and Convergence of Lorentzian Length Spaces about?

Abstract The null distance of Sormani and Vega encodes the manifold topology as well as the causality structure of a (smooth) spacetime. We extend this concept to Lorentzian length spaces, the analog of (metric) length spaces, which generalize Lorentzian causality theory beyond the manifold level. We then study Gromov–Hausdorff convergence based on the null distance in warped product Lorentzian length spaces and prove first results on its compatibility with synthetic curvature bounds.

Author

Michael Kunzinger; Roland Steinbauer

Publisher

Springer Science and Business Media LLC

Published

2022

Language

EN