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On conformal Lorentzian length spaces.

Authors :
Ebrahimi, Neda
Vatandoost, Mehdi
Pourkhandani, Rahimeh
Source :
Analysis & Mathematical Physics; Dec2023, Vol. 13 Issue 6, p1-20, 20p
Publication Year :
2023

Abstract

Recently, Lorentzian length spaces have been introduced inspired by length spaces. One of the main objects of study in these spaces is a time separation function τ , which is closely linked to their causal structure. In analogy to the metric d in length spaces, τ can express basic notions and many results in the setting of Lorentzian length spaces. In this paper, the concept of conformal Lorentzian length spaces is introduced and a novel version of limit curve theorem is proven. Finally, the global hyperbolic and causally simple Lorentzian length spaces are characterized. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
16642368
Volume :
13
Issue :
6
Database :
Complementary Index
Journal :
Analysis & Mathematical Physics
Publication Type :
Academic Journal
Accession number :
173679478
Full Text :
https://doi.org/10.1007/s13324-023-00855-1