Literature Cited
A. Z. Petrov, New Methods in the Theory of Relativity [in Russian], Nauka, Moscow (1966).
S. P. Gavrilov, “Geodesics of left-invariant metrics on a connected two-dimensional non-Abelian Lie group,” in: Gravitation and the Theory of Relativity [in Russian], Vol. 18, Kazan State Univ. (1981), pp. 28–44.
A. V. Levichev, “Some methods of investigating the causal structure of homogeneous Lorentzian manifolds,” Preprint Inst. Mat. Sib. Otd. Akad. Nauk SSSR, No. 20 Novosibirsk (1986).
A. K. Guts and E. I. Savchenko, “Chronogeometry of an Einstein space of maximal mobility,” Sib. Mat. Zh.,22, No. 5, 31–39 (1981).
M. E. Osinovskii, “Topology of low-dimensional real Lie groups. III,” Preprint ITF-72-149 P, Inst. Teor. Fiz. Akad. Nauk Ukr. SSR, Kiev (1972).
R. I. Pimenov, “Nonsmooth and other generalizations in the theory of space-time and electricity,” Preprint No. 47, Komi Fil. Akad. Nauk SSSR, Syktyvkar (1979).
S. Hawking and J. Ellis, The Large-Scale Structure of Space-Time, Cambridge Univ. Press (1973).
S. P. Gavrilov, “Left-invariant metrics on simply connected Lie groups containing an Abelian subgroup of codimension one,” in: Gravitation and Theory of Relativity [in Russian], Vol. 21 Kazan State Univ. (1984), pp 13–47.
A. K. Guts, “Axiomatic theory of relativity,” Usp. Mat. Nauk,37, No. 2, 39–79 (1982).
A. V. Levichev, “A sufficient condition for the absence of closed causal curves in a homogeneous space-time,” Izv. Vyshch. Uchebn. Zaved., Fiz., No. 10, 118–119 (1985).
R. Penrose, Techniques of Differential Topology in Relativity, SIAM Publications, Philadelphia (1972).
M. A. Ulanovskii, “The exponential map in pseudo-Riemannian spaces of physical type,” in: Ukr. Geom. Sb. [in Russian], Vol. 16, Kharkov (1974), pp. 97–118.
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Dedicated to Aleksandr Danilovich Aleksandrov with deep gratitude.
Kuibyshev. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 28, No. 4, pp. 39–43, July–August, 1987.
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Afanas'eva, V.Y., Levichev, A.V. More on the geometry of Einstein spaces of maximal mobility. Sib Math J 28, 548–552 (1987). https://doi.org/10.1007/BF00973841
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DOI: https://doi.org/10.1007/BF00973841