Lorentzian distance on the Lobachevsky plane

被引：0
|
作者：
Sachkov, Yu L. [1 ,2 ]
机构：
[1] Russian Acad Sci, Program Syst Inst, Pereslavl Zalesskii, Russia
[2] RUDN Univ, 6 Miklukho Maklaya St, Moscow 117198, Russia
来源：
NONLINEARITY | 2024年 / 37卷 / 09期
关键词：
Lorentzian geometry; Lorentzian metric; curvature; length maximizers; isometries; geometric control;
D O I：
10.1088/1361-6544/ad67a0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页数：35
相关论文
共 50 条
  • [31] Cauchy Formulas for Enveloping Curves in the Lorentzian Plane and Lorentzian Kinematics
    Yuce, Salim
    Kuruoglu, Nuri
    RESULTS IN MATHEMATICS, 2009, 54 (1-2) : 199 - 206
  • [32] Gauge-periodic point perturbations on the Lobachevsky plane
    Bruning, J
    Geiler, VA
    THEORETICAL AND MATHEMATICAL PHYSICS, 1999, 119 (03) : 687 - 697
  • [33] Cauchy Formulas for Enveloping Curves in the Lorentzian Plane and Lorentzian Kinematics
    Salim Yüce
    Nuri Kuruoğlu
    Results in Mathematics, 2009, 54 : 199 - 206
  • [34] A Manifold of Pure Gibbs States of the Ising Model on the Lobachevsky Plane
    Gandolfo, Daniel
    Ruiz, Jean
    Shlosman, Senya
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2015, 334 (01) : 313 - 330
  • [35] Asymptotic formula for the number of points of a lattice in the circle on the Lobachevsky plane
    Arkhipov, G. I.
    Chubarikov, V. N.
    DISCRETE MATHEMATICS AND APPLICATIONS, 2006, 16 (05): : 461 - 469
  • [36] Gap generation for Dirac fermions on Lobachevsky plane in a magnetic field
    Gorbar, E. V.
    Gusynin, V. P.
    ANNALS OF PHYSICS, 2008, 323 (09) : 2132 - 2146
  • [37] On Level Sets of Lorentzian Distance Function
    F. Erkekoğlu
    E. García-Río
    D. N. Kupeli
    General Relativity and Gravitation, 2003, 35 : 1597 - 1615
  • [38] CONTACT AND ALMOST CONTACT STRUCTURES ON THE REAL EXTENSION OF THE LOBACHEVSKY PLANE
    Pan'zhenskii, V., I
    Rastrepina, A. O.
    UCHENYE ZAPISKI KAZANSKOGO UNIVERSITETA-SERIYA FIZIKO-MATEMATICHESKIE NAUKI, 2021, 163 (3-4): : 291 - 303
  • [39] A Manifold of Pure Gibbs States of the Ising Model on the Lobachevsky Plane
    Daniel Gandolfo
    Jean Ruiz
    Senya Shlosman
    Communications in Mathematical Physics, 2015, 334 : 313 - 330
  • [40] The Lorentzian distance formula in noncommutative geometry
    Franco, Nicolas
    NON-REGULAR SPACETIME GEOMETRY, 2018, 968
12345