Foliations admitting transverse systems of differential equations

Robert Wolak

Compositio Mathematica (1988)

  • Volume: 67, Issue: 1, page 89-101
  • ISSN: 0010-437X

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Wolak, Robert. "Foliations admitting transverse systems of differential equations." Compositio Mathematica 67.1 (1988): 89-101. <http://eudml.org/doc/89911>.

@article{Wolak1988,
author = {Wolak, Robert},
journal = {Compositio Mathematica},
keywords = {Riemannian foliation; bundle of k-jets of smooth mappings; system of differential equations of order k; leaves; submersion; locally trivial fibre bundle; transversally affine; transversally homogeneous conformal; -G foliations},
language = {eng},
number = {1},
pages = {89-101},
publisher = {Kluwer Academic Publishers},
title = {Foliations admitting transverse systems of differential equations},
url = {http://eudml.org/doc/89911},
volume = {67},
year = {1988},
}

TY - JOUR
AU - Wolak, Robert
TI - Foliations admitting transverse systems of differential equations
JO - Compositio Mathematica
PY - 1988
PB - Kluwer Academic Publishers
VL - 67
IS - 1
SP - 89
EP - 101
LA - eng
KW - Riemannian foliation; bundle of k-jets of smooth mappings; system of differential equations of order k; leaves; submersion; locally trivial fibre bundle; transversally affine; transversally homogeneous conformal; -G foliations
UR - http://eudml.org/doc/89911
ER -

References

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  1. 1 R.A. Blumenthal and J.J. Hebda: De Rham decomposition theorem for foliated manifolds. Ann. Inst. Fourier33 (1983) 183-198. Zbl0487.57010MR699494
  2. 2 R.A. Blumenthal and J.J. Hebda: Ehresmann connection for foliations. Indiana Un. Math. J.33(4) (1984) 597-611. Zbl0511.57021MR749317
  3. 3 Bobo Seke:Sur les structures transversalement affines des feuilletages de codimension un. Ann. Inst. Fourier30(1) (1980) 1-29. Zbl0417.57011MR576071
  4. 4 Bobo Seke:Structures transverses affines trivialisables. Publ. IRMA, Strasbourg, Vol. 188, p. 109. Zbl0417.57011
  5. 5 J. Gancarzewicz: Geodesics of order 2. Prace Mat.19 (1977) 121-136. Zbl0384.53021MR474123
  6. 6 R. Herman: A sufficient condition that a mapping of Riemannian manifolds be a fibre bundle. Proc. A.M.S.11 (1960) 232-242. Zbl0112.13701MR112151
  7. 7 P. Molino: Propriétés cohomologiques et propriétés topologiques de feuilletages a connexion transverse projectable. Topology12 (1973) 317-325. Zbl0269.57014MR353332
  8. 8 P. Molino: Etude des feuilletages transversalement complets et applications. Ann. Scient. Ec. Norm. Sup.10 (1977) 289-307. Zbl0368.57007MR458446
  9. 9 L.V. Ovsiannikov: Group Analysis of Differential Equations. Academic Press, New York (1982). Zbl0485.58002MR668703
  10. 10 R. Wolak: On V-G-foliations. Suppl. Rend. Circolo Mat. Palermo6 (1984), 329-341. Zbl0567.57022MR782729
  11. 11 R. Wolak: Normal bundles of foliations of order k. Demons. Math.18(4) (1985) 977-994. Zbl0609.58004MR857354
  12. 12 R. Wolak: Transverse structures of foliations. Suppl. Rend. Cir. Mat. Palermo9 (1985) 227-243. Zbl0595.57023MR853144
  13. 13 R. Wolak: Some remarks on V-G-foliations. In: L.A. Cordero (ed.) Proceedings, V-th Colloquium on Differential Geometry, Santiago de Compostela, Spain (1984); Pitman (1985) pp. 276-289. Zbl0646.57017MR864876

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