Timelike Hilbert and Funk geometries

2016/02/23 by Athanase Papadopoulos, Papadopoulos, Athanase, Sumio Yamada +1 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Fixed Point Theorems Analysis #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Metric Geometry (math.MG)

paper · pdf · doi:10.48550/arxiv.1602.07072

openalex publication_date 2016/02/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A timelike space is a Hausdorff topological space equipped with a partial order relation

Citations

• Indefinite Finsler Spaces and Timelike Spaces
• The Funk and Hilbert geometries for spaces of constant curvature

Cited by

• Affine Deformations of Divisible Convex Cones and Affine Spacetimes
• On families of Finsler metrics

Related

• On the categorical and topological structure of timelike and causal homotopy classes of paths in smooth spacetimes
• Timelike Hilbert geometry of the spherical simplex
• When is X× Y homeomorphic to X×_l Y?
• Causal order complex and magnitude homotopy type of metric spaces
• From Funk to Hilbert Geometry