Transversely affine foliations of some surface bundles over S 1 of pseudo-Anosov type

Hiromichi Nakayama

Annales de l'institut Fourier (1991)

  • Volume: 41, Issue: 3, page 755-778
  • ISSN: 0373-0956

Abstract

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We consider transversely affine foliations without compact leaves of higher genus surface bundles over the circle of pseudo-Anosov type such that the Euler classes of the tangent bundles of the foliations coincide with that of the bundle foliation. We classify such foliations of those surface bundles whose monodromies satisfy a certain condition.

How to cite

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Nakayama, Hiromichi. "Transversely affine foliations of some surface bundles over $S^1$ of pseudo-Anosov type." Annales de l'institut Fourier 41.3 (1991): 755-778. <http://eudml.org/doc/74936>.

@article{Nakayama1991,
abstract = {We consider transversely affine foliations without compact leaves of higher genus surface bundles over the circle of pseudo-Anosov type such that the Euler classes of the tangent bundles of the foliations coincide with that of the bundle foliation. We classify such foliations of those surface bundles whose monodromies satisfy a certain condition.},
author = {Nakayama, Hiromichi},
journal = {Annales de l'institut Fourier},
keywords = {surface bundle over ; transversely affine foliations; circle of pseudo-Anosov type},
language = {eng},
number = {3},
pages = {755-778},
publisher = {Association des Annales de l'Institut Fourier},
title = {Transversely affine foliations of some surface bundles over $S^1$ of pseudo-Anosov type},
url = {http://eudml.org/doc/74936},
volume = {41},
year = {1991},
}

TY - JOUR
AU - Nakayama, Hiromichi
TI - Transversely affine foliations of some surface bundles over $S^1$ of pseudo-Anosov type
JO - Annales de l'institut Fourier
PY - 1991
PB - Association des Annales de l'Institut Fourier
VL - 41
IS - 3
SP - 755
EP - 778
AB - We consider transversely affine foliations without compact leaves of higher genus surface bundles over the circle of pseudo-Anosov type such that the Euler classes of the tangent bundles of the foliations coincide with that of the bundle foliation. We classify such foliations of those surface bundles whose monodromies satisfy a certain condition.
LA - eng
KW - surface bundle over ; transversely affine foliations; circle of pseudo-Anosov type
UR - http://eudml.org/doc/74936
ER -

References

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  2. [2] E. GHYS and V. SERGIESCU, Stabilité et conjugaison différentiable pour certains feuilletages, Topology, 19 (1980), 179-197. Zbl0478.57017MR81k:57022
  3. [3] G. HECTOR and U. HIRSCH, Introduction to the geometry of foliations, Part B, Friedr. Vieweg & Sohn, Braunschweig/Wiesbaden, 1983. Zbl0552.57001
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