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A Lorentzian manifold with a group of conformal transformations that contains a normal one-parameter subgroup of homotheties. (English. Russian original) Zbl 1042.53521

Sib. Math. J. 38, No. 6, 1178-1181 (1997); translation from Sib. Mat. Zh. 38, No. 6, 1356-1359 (1997).

MSC:

53C50 Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics
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References:

[1] C. Barbance, ”Transformations conformes des variétes Lorentziennes homogénes,” C. R. Acad. Sci. Paris Ser. A,291, No. 5, 347–350 (1980). · Zbl 0455.53045
[2] M. N. Podoksënov, ”A Lorentz manifold with a group of conformal transformation containing a normal subgroup of homotheties,” Sibirsk. Mat. Zh.,34, No. 2, 146–153 (1993).
[3] D. Alekseevskii, ”Self-similar Lorentzian manifolds,” Ann. Global. Anal. Geom.,3, No. 1, 59–84 (1985). · Zbl 0564.53029 · doi:10.1007/BF00054491
[4] M. N. Podoksënov, ”A Lorentz manifold with a one-parameter group of homotheties containing a closed isotropic orbit,” Sibirsk. Mat. Zh.,30, No. 5, 135–137 (1989).
[5] L. D. Ivanov, ”Contingency,” in: Mathematical Encyclopedia. Vol. 2 [in Russian], Sov. Èntsiklopediya, Moscow (1979).
[6] S. W. Hawking and G. F. R. Ellis, The Large Scale Structure of Space-Time [Russian translation], Mir, Moscow (1977).
[7] J. D. Lawson, ”Ordered manifolds, invariant cone fields, and semigroups,” Forum Math., No. 3, 273–308 (1989). · Zbl 0672.53041
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