A classification of the topological types of 𝐑 2 -actions on closed orientable 3-manifolds

Gilles Chatelet; Harold Rosenberg; Daniel Weil

Publications Mathématiques de l'IHÉS (1974)

  • Volume: 43, page 261-272
  • ISSN: 0073-8301

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Chatelet, Gilles, Rosenberg, Harold, and Weil, Daniel. "A classification of the topological types of $\mathbf {R}^2$-actions on closed orientable 3-manifolds." Publications Mathématiques de l'IHÉS 43 (1974): 261-272. <http://eudml.org/doc/103929>.

@article{Chatelet1974,
author = {Chatelet, Gilles, Rosenberg, Harold, Weil, Daniel},
journal = {Publications Mathématiques de l'IHÉS},
language = {eng},
pages = {261-272},
publisher = {Institut des Hautes Études Scientifiques},
title = {A classification of the topological types of $\mathbf \{R\}^2$-actions on closed orientable 3-manifolds},
url = {http://eudml.org/doc/103929},
volume = {43},
year = {1974},
}

TY - JOUR
AU - Chatelet, Gilles
AU - Rosenberg, Harold
AU - Weil, Daniel
TI - A classification of the topological types of $\mathbf {R}^2$-actions on closed orientable 3-manifolds
JO - Publications Mathématiques de l'IHÉS
PY - 1974
PB - Institut des Hautes Études Scientifiques
VL - 43
SP - 261
EP - 272
LA - eng
UR - http://eudml.org/doc/103929
ER -

References

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  1. [1] G. CHATELET et H. ROSENBERG, Un théorème de conjugaison de feuilletage, to appear in Ann. de l'Inst. Fourier. Zbl0208.25703
  2. [2] N. KOPPELL, Thesis, Berkeley. 
  3. [3] E. LIMA, Commuting vector fields on S3, Ann. of Math., 81 (1965), 70-81. Zbl0137.17801MR30 #1517
  4. [4] H. ROSENBERG, Foliations by Planes, Topology, 7 (1968), 131-141. Zbl0157.30504MR37 #3595
  5. [5] H. ROSENBERG and R. ROUSSARIE, Reeb Foliations, Ann. of Math., 91 (1970), 1-24. Zbl0198.28402MR41 #2704
  6. [6] H. ROSENBERG and R. ROUSSARIE, Topological equivalence of Reeb foliations, Topology, 9 (1970), 231-242. Zbl0211.26602MR41 #7712
  7. [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. Zbl0195.25404MR42 #5280
  8. [8] R. SACKSTEDER, Foliations and pseudo-groups, Amer. J. of Math., 87 (1965), 79-102. Zbl0136.20903MR30 #4268
  9. [9] F. WALDHAUSEN, On irreducible 3-manifolds which are sufficiently large, Ann. of Math., 87 (1968), 56-88. Zbl0157.30603MR36 #7146
  10. [10] D. WEIL, Thesis (Orsay) (to appear). 

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