Lorentzian distance on the Lobachevsky plane

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. © 2024 IOP Publishing Ltd & London Mathematical Society.

Authors
Sachkov Y.L.
Journal
NONLINEARITY
Publisher
IOP PUBLISHING LTD
Issue number
9
Language
English
State
Published
Link
External link
DOI
10.1088/1361-6544/AD67A0
Number
095027
Volume
37
Year
2024
Organizations
  • 1 Program Systems Institute, Russian Academy of Sciences, Pereslavl-Zalessky, Russian Federation
  • 2 RUDN University, 6 Miklukho-Maklaya St, Moscow, 117198, Russian Federation
Keywords
53C50, 49J15, 49K15; curvature; geometric control; isometries; length maximizers; Lorentzian geometry; Lorentzian metric
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