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A classification of the topological types of R\(^2\)-actions on closed orientable 3-manifolds. (English) Zbl 0278.57015


MSC:

57S25 Groups acting on specific manifolds
57R30 Foliations in differential topology; geometric theory

References:

[1] G. Chatelet etH. Rosenberg, Un théorème de conjugaison de feuilletage, to appear inAnn. de l’Inst. Fourier.
[2] N. Koppell, Thesis, Berkeley.
[3] E. Lima, Commuting vector fields on S3,Ann. of Math.,81 (1965), 70–81. · Zbl 0137.17801 · doi:10.2307/1970383
[4] H. Rosenberg, Foliations by Planes,Topology,7 (1968), 131–141. · Zbl 0157.30504 · doi:10.1016/0040-9383(68)90021-9
[5] H. Rosenberg andR. Roussarie, Reeb Foliations,Ann. of Math.,91 (1970), 1–24. · Zbl 0198.28402 · doi:10.2307/1970600
[6] H. Rosenberg andR. Roussarie, Topological equivalence of Reeb foliations,Topology,9 (1970), 231–242. · Zbl 0211.26602 · doi:10.1016/0040-9383(70)90013-3
[7] H. Rosenberg, R. Roussarie andD. Weil, A classification of closed orientable 3-manifolds of rank two,Ann. of Math.,91 (1970), 449–464. · Zbl 0195.25404 · doi:10.2307/1970633
[8] R. Sacksteder, Foliations and pseudo-groups,Amer. J. of Math.,87 (1965), 79–102. · Zbl 0136.20903 · doi:10.2307/2373226
[9] F. Waldhausen, On irreducible 3-manifolds which are sufficiently large,Ann. of Math.,87 (1968), 56–88. · Zbl 0157.30603 · doi:10.2307/1970594
[10] D. Weil, Thesis (Orsay) (to appear).
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