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3-manifolds whose universal coverings are Lie groups. (English) Zbl 0468.57009

##### MSC:
 57N10 Topology of general $$3$$-manifolds (MSC2010) 57T20 Homotopy groups of topological groups and homogeneous spaces 22E40 Discrete subgroups of Lie groups 57M10 Covering spaces and low-dimensional topology
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##### References:
 [1] Auslander, L.; Green, L.; Hahn, F., Flows on some 3-dimensional homogeneous spaces, Chapter III of annals of math. study, 53, (1963), Princeton · Zbl 0099.39103 [2] Borel, A., Seminar on transformation groups, Annals of math. study, 46, (1960), Princeton [3] A.M. MacBeath, The fundamental groups of the 3-dimensional Brieskorn manifolds (preprint). [4] Milnor, J., Curvatures of left invariant metrics on Lie groups, Adv. in math., 21, 293-329, (1976) · Zbl 0341.53030 [5] Milnor, J., On the 3-dimensional Brieskorn manifold M(p, q, r), Annals of math. study, 48, 175-225, (1975), Princeton [6] Neumann, W.D.; Raymond, F., Seifert manifolds, plumbing, μ-invariant, and orientation reversing maps, (), 162-195, Proceedings 1977, Springer Lecture Notes [7] P. Orlik, Seifert Manifolds, Springer Lecture Notes, Vol. 291 (Springer-Verlag, New York). [8] Raymond, F., Classification of the actions of the circle on 3-manifolds, Trans. amer. math. soc., 131, 51-78, (1968) · Zbl 0157.30602 [9] Seifert, H., Topologie dreidimensioneler gefaserter Räume, Acta math., 60, 147-238, (1933) · JFM 59.1241.02 [10] M.S. Raghunathan, Discrete Subgroups of Lie Groups, Band 68, Ergebnisse Series (Springer-Verlag, Berlin). · Zbl 0254.22005
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