A topological obstruction for a foliation be a sub-foliation of another is given by comparing the images of the associated characteristic homomorphisms (in the sense of Lehmann).
On donne une obstruction topologique pour qu’un feuilletage soit un sous-feuilletage d’un autre en comparant les images des homomorphismes caractéristiques associés (dans le sens de Lehmann).
@article{AIF_1976__26_1_225_0,
author = {Cordero, Luis A. and Gadea, P. M.},
title = {Exotic characteristic classes and subfoliations},
journal = {Annales de l'Institut Fourier},
pages = {225--237},
year = {1976},
publisher = {Institut Fourier},
address = {Grenoble},
volume = {26},
number = {1},
doi = {10.5802/aif.605},
mrnumber = {53 #6584},
zbl = {0313.57010},
language = {en},
url = {https://www.numdam.org/articles/10.5802/aif.605/}
}
TY - JOUR AU - Cordero, Luis A. AU - Gadea, P. M. TI - Exotic characteristic classes and subfoliations JO - Annales de l'Institut Fourier PY - 1976 SP - 225 EP - 237 VL - 26 IS - 1 PB - Institut Fourier PP - Grenoble UR - https://www.numdam.org/articles/10.5802/aif.605/ DO - 10.5802/aif.605 LA - en ID - AIF_1976__26_1_225_0 ER -
%0 Journal Article %A Cordero, Luis A. %A Gadea, P. M. %T Exotic characteristic classes and subfoliations %J Annales de l'Institut Fourier %D 1976 %P 225-237 %V 26 %N 1 %I Institut Fourier %C Grenoble %U https://www.numdam.org/articles/10.5802/aif.605/ %R 10.5802/aif.605 %G en %F AIF_1976__26_1_225_0
Cordero, Luis A.; Gadea, P. M. Exotic characteristic classes and subfoliations. Annales de l'Institut Fourier, Tome 26 (1976) no. 1, pp. 225-237. doi: 10.5802/aif.605
[1] , Lectures on characteristic classes and foliations, Lecture Notes on Math., n° 279 (1972), Springer-Verlag, Berlin. | Zbl | MR
[2] and , Some cohomology classes in principal fibre bundles and their applications to Riemannian geometry, Proc. Nat. Acad. Sci. U.S.A., 66 (1971), 791-794. | Zbl | MR
[3] and , Characteristic forms and transgression, I, Preprint.
[4] , Special connections on almost-multifoliate Riemannian manifolds, Preprint. | MR | Zbl
[5] , Sobre la geometria de las variedades multifoliadas, III Jornadas Mat. Hispano-Lusitanas, Sevilla 1974.
[6] , Conferencias sobre cohomologia de Gelfand-Fuks y foliaciones, Public. Dep. Geometria y Topologia, Univ. Santiago de Compostela, n° 22 (1973), notas de P.M. Gadea.
[7] and , Foundations of Differential Geometry, I, II. Interscience Publ. (1963-1969). | Zbl | MR
[8] and , Multifoliate structure, Ann. of Math., 74 (1961), 52-99. | Zbl | MR
[9] , J-homotopie dans les espaces de connexions et classes exotiques de Chern-Simons, C.R. Acad. Sc. Paris, 275 A (1972), 835-838. | Zbl | MR
[10] , Classes caractéristiques exotiques et J-connexité des espaces de connexions, Preprint. | Zbl | Numdam
[11] , Almost-multifoliate Riemannian manifolds, Ann. Sc. Univ. “Al. I. Cuza”, sect. I, vol. XVI (1970), 97-104. | Zbl | MR
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