Lorentzian distance on the Lobachevsky plane
Optimization and Control
2023-07-18 v1 Differential Geometry
Abstract
Left-invariant Lorentzian structures on the 2D solvable non-Abelian Lie group are studied. Sectional curvature, attainable sets, Lorentzian length maximizers, distance, spheres, and infinitesimal isometries are described.
Keywords
Cite
@article{arxiv.2307.07706,
title = {Lorentzian distance on the Lobachevsky plane},
author = {Yu. L. Sachkov},
journal= {arXiv preprint arXiv:2307.07706},
year = {2023}
}