On transverse foliations

Atsushi Sato; Itiro Tamura

Publications Mathématiques de l'IHÉS (1981)

  • Volume: 54, page 5-35
  • ISSN: 0073-8301

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Sato, Atsushi, and Tamura, Itiro. "On transverse foliations." Publications Mathématiques de l'IHÉS 54 (1981): 5-35. <http://eudml.org/doc/103979>.

@article{Sato1981,
author = {Sato, Atsushi, Tamura, Itiro},
journal = {Publications Mathématiques de l'IHÉS},
keywords = {existence and classification of transverse foliations; foliations arising from fibered knots; codimension-one foliations transverse to the Reeb foliation},
language = {eng},
pages = {5-35},
publisher = {Institut des Hautes Études Scientifiques},
title = {On transverse foliations},
url = {http://eudml.org/doc/103979},
volume = {54},
year = {1981},
}

TY - JOUR
AU - Sato, Atsushi
AU - Tamura, Itiro
TI - On transverse foliations
JO - Publications Mathématiques de l'IHÉS
PY - 1981
PB - Institut des Hautes Études Scientifiques
VL - 54
SP - 5
EP - 35
LA - eng
KW - existence and classification of transverse foliations; foliations arising from fibered knots; codimension-one foliations transverse to the Reeb foliation
UR - http://eudml.org/doc/103979
ER -

References

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  1. [1] A. DAVIS and F. W. WILSON, Jr., Vector fields tangent to foliations I : Reeb foliations, Jour. Differential equations, 11 (1972), 491-498. Zbl0242.57012MR46 #8238
  2. [2] N. KOPELL, Commuting Diffeomorphisms, Global Analysis, Proc. Symp. Pure Math., XIV, A.M.S., 1970, Providence. Zbl0225.57020
  3. [3] J. MILNOR, Singular points of complex hypersurfaces, Ann. of Math. Studies, 61, Princeton, 1968. Zbl0184.48405MR39 #969
  4. [4] S. P. NOVIKOV, Topology of foliations, Trudy Moskov. Mat. Obšč., 14 (1965), 248-278, A.M.S. Transl., 1967, 286-304. Zbl0247.57006MR34 #824
  5. [5] G. REEB, Sur certaines propriétés topologiques des variétés feuilletées, Act. Sci. Ind., No. 1183, Hermann, Paris, 1952. Zbl0049.12602MR14,1113a
  6. [6] B. L. REINHART, Line elements on the torus, Amer. J. Math., 81 (1959), 617-631. Zbl0098.29006MR22 #1915
  7. [7] E. SILBERSTEIN, Multifoliations on Mn × S1 where Mn is a stably parallelizable manifold, Proc. London Math. Soc., (3), 35 (1977), 463-482. Zbl0382.57009MR58 #24294
  8. [8] I. TAMURA, Foliations and spinnable structures on manifolds, Ann. Inst. Fourier, 23 (1973), 197-214. Zbl0269.57012MR50 #14788
  9. [9] W. THURSTON, Foliations of three-manifolds which are circle bundles, Thesis, Univ. of California, Berkeley, 1972. 
  10. [10] W. THURSTON, Non-cobordant foliations of S3, Bull. Amer. Math. Soc., 78 (1972), 511-514. Zbl0266.57004MR45 #7741

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