Generalized cones as Lorentzian length spaces: causality, curvature, and singularity theorems
type: Item
instance of: scholarly article
title: Generalized cones as Lorentzian length spaces: causality, curvature, and singularity theorems
author: Stephanie B. Alexander
author: Melanie Graf
author: Michael Kunzinger
author: C. Sämann
published in: Communications in Analysis and Geometry
publication date: 2024-10-29T00:00:00Z
review text: The authors consider generalizations of Lorentzian warped products with one-dimensional base to the case where the fiber is merely a metric length space, i.e., a Lorentzian length space of the form \(I \times_{f} X\), where \(I\) is an interval, \(f\) is a continuous positive function and \(X\) is an Alexandrov metric space. The authors investigate the causality properties of these spaces and obtain synthetic sectional curvature bounds depending on the metric curvature bounds of the fiber \(X\).
reviewed by: Andrea Tamburelli
Mathematics Subject Classification ID: 53C50
Mathematics Subject Classification ID: 53C23
zbMATH DE Number: 7935141
zbMATH Keywords: Lorentzian length spaces
zbMATH Keywords: warped products
zbMATH Keywords: causality
zbMATH Keywords: synthetic sectional curvature
MaRDI profile type: Publication
DOI: 10.4310/CAG.2023.V31.N6.A5
description: scientific article; zbMATH DE number 7935141