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A classification of the topological types of 𝐑 2 -actions on closed orientable 3-manifolds
Publications Mathématiques de l'IHÉS, Volume 43 (1974), pp. 261-272
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DOI: 10.1007/BF02684372 
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     author = {Gilles Chatelet and Harold Rosenberg and Daniel Weil},
     title = {A classification of the topological types of $\mathbf {R}^2$-actions on closed orientable 3-manifolds},
     journal = {Publications Math\'ematiques de l'IH\'ES},
     pages = {261--272},
     year = {1974},
     publisher = {Institut des Hautes \'Etudes Scientifiques},
     volume = {43},
     doi = {10.1007/BF02684372},
     mrnumber = {346809},
     zbl = {0278.57015},
     language = {en},
     url = {https://pmihes.centre-mersenne.org/articles/10.1007/BF02684372/}
}
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Gilles Chatelet; Harold Rosenberg; Daniel Weil. A classification of the topological types of $\mathbf {R}^2$-actions on closed orientable 3-manifolds. Publications Mathématiques de l'IHÉS, Volume 43 (1974), pp. 261-272. doi: 10.1007/BF02684372

[1] G. Chatelet et H. Rosenberg, Un théorème de conjugaison de feuilletage, to appear in Ann. de l'Inst. Fourier. | Zbl | Numdam

[2] N. Koppell, Thesis, Berkeley.

[3] E. Lima, Commuting vector fields on S3, Ann. of Math., 81 (1965), 70-81. | Zbl | MR

[4] H. Rosenberg, Foliations by Planes, Topology, 7 (1968), 131-141. | Zbl | MR

[5] H. Rosenberg and R. Roussarie, Reeb Foliations, Ann. of Math., 91 (1970), 1-24. | Zbl | MR

[6] H. Rosenberg and R. Roussarie, Topological equivalence of Reeb foliations, Topology, 9 (1970), 231-242. | Zbl | MR

[7] H. Rosenberg, R. Roussarie and D. Weil, A classification of closed orientable 3-manifolds of rank two, Ann. of Math., 91 (1970), 449-464. | Zbl | MR

[8] R. Sacksteder, Foliations and pseudo-groups, Amer. J. of Math., 87 (1965), 79-102. | Zbl | MR

[9] F. Waldhausen, On irreducible 3-manifolds which are sufficiently large, Ann. of Math., 87 (1968), 56-88. | Zbl | MR

[10] D. Weil, Thesis (Orsay) (to appear).

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