Title: Lorentzian distance on the Lobachevsky plane

Authors: Yu L Sachkov

Journal title: Nonlinearity

Year: 2024

Issue: 37

Pages: 095027

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.

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