Feuilletages riemanniens singuliers transversalement intégrables

H. Boualem

Compositio Mathematica (1995)

  • Volume: 95, Issue: 1, page 101-125
  • ISSN: 0010-437X

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Boualem, H.. "Feuilletages riemanniens singuliers transversalement intégrables." Compositio Mathematica 95.1 (1995): 101-125. <http://eudml.org/doc/90342>.

@article{Boualem1995,
author = {Boualem, H.},
journal = {Compositio Mathematica},
keywords = {transverse integrability; sections of group actions; singular Riemannian foliation; decomposition theorem},
language = {fre},
number = {1},
pages = {101-125},
publisher = {Kluwer Academic Publishers},
title = {Feuilletages riemanniens singuliers transversalement intégrables},
url = {http://eudml.org/doc/90342},
volume = {95},
year = {1995},
}

TY - JOUR
AU - Boualem, H.
TI - Feuilletages riemanniens singuliers transversalement intégrables
JO - Compositio Mathematica
PY - 1995
PB - Kluwer Academic Publishers
VL - 95
IS - 1
SP - 101
EP - 125
LA - fre
KW - transverse integrability; sections of group actions; singular Riemannian foliation; decomposition theorem
UR - http://eudml.org/doc/90342
ER -

References

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  1. [B-H] R.A. Blumenthal and J. Hebda, De Rham decomposition theorem for foliated manifolds, Ann. Inst. Fourier33(2) (1983) 133-198. Zbl0487.57010MR699494
  2. [Ca] G. Cairns, A general description of totally geodesic foliation, Tôhoku Math. J.38 (1986) 37-55. Zbl0574.57012MR826763
  3. [C2] L. Conlon, Variational completeness and K-transversal domains, J. Diff. Geom.5 (1971) 135-147. Zbl0213.48602MR295252
  4. [C3] L. Conlon, A class of variationally complete representations, J. Diff. Geom.7 (1972) 149-160. Zbl0276.53038MR377954
  5. [D] J. Dadok, Polar coordinates induced by actions of compact Lie groups, Trans. Amer. Math. Soc.288 (1986) 125-137. Zbl0565.22010MR773051
  6. [H-S] A. Hafliger and E. Salem, Pseudogroupes d'holonomie des feuilletages riemanniens sur des variétés compactes 1-connexes, preprint (1986). Zbl0647.57019
  7. [Mo] P. Molino, Riemannian Foliations, Progress in Math.73. Birkhäuser (1988). Zbl0633.53001MR932463
  8. [M-P] P. Molino and M. Pierrot, Théorème de slice et holonomie des feuilletages riemanniens singuliers, Ann. Inst. Fourier, Tome XXXVII, fascicule 4 (1987) 207-223. Zbl0625.57016MR927398
  9. [P-T] R.S. Palais and C.L. Terng, Critical point theory and submanifold geometry. Lecture notes in Math, no. 1353, Springer (1988). Zbl0658.49001MR972503
  10. [St] P. Stefan, Accessible sets, orbits and foliations with singularities, Proc. London Math. Soc.29 (1974) 699-713. Zbl0342.57015MR362395
  11. [Su1] H. Sussmann, Orbits of families of vector fields and integrability of distribution, Trans. Amer. Math. Soc.180 (1973) 171-188. Zbl0274.58002MR321133
  12. [Su2] H. Sussmann, A generalization of the closed subgroups theorem to quotients of arbitrary manifolds, J. Diff. Geom.10 (1975) 151-166. Zbl0342.58004MR426015
  13. [Sz1] J. Szenthe, A generalization of the Weyl group, Acta Math. Hungar41 (1983) 347-357. Zbl0545.57014MR703746
  14. [Sz2] J. Szenthe, Orthogonally transversal submanifolds and the generalizations of the Weyl group, Period Math. Hungar15 (1984) 281-299. Zbl0583.53035MR782429

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