Exotic characteristic classes and subfoliations

Luis A. Cordero; P. M. Gadea

Annales de l'institut Fourier (1976)

  • Volume: 26, Issue: 1, page 225-237
  • ISSN: 0373-0956

Abstract

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A topological obstruction for a foliation F 1 be a sub-foliation of another F 2 is given by comparing the images of the associated characteristic homomorphisms (in the sense of Lehmann).

How to cite

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Cordero, Luis A., and Gadea, P. M.. "Exotic characteristic classes and subfoliations." Annales de l'institut Fourier 26.1 (1976): 225-237. <http://eudml.org/doc/74267>.

@article{Cordero1976,
abstract = {A topological obstruction for a foliation $F_1$ be a sub-foliation of another $F_2$ is given by comparing the images of the associated characteristic homomorphisms (in the sense of Lehmann).},
author = {Cordero, Luis A., Gadea, P. M.},
journal = {Annales de l'institut Fourier},
language = {eng},
number = {1},
pages = {225-237},
publisher = {Association des Annales de l'Institut Fourier},
title = {Exotic characteristic classes and subfoliations},
url = {http://eudml.org/doc/74267},
volume = {26},
year = {1976},
}

TY - JOUR
AU - Cordero, Luis A.
AU - Gadea, P. M.
TI - Exotic characteristic classes and subfoliations
JO - Annales de l'institut Fourier
PY - 1976
PB - Association des Annales de l'Institut Fourier
VL - 26
IS - 1
SP - 225
EP - 237
AB - A topological obstruction for a foliation $F_1$ be a sub-foliation of another $F_2$ is given by comparing the images of the associated characteristic homomorphisms (in the sense of Lehmann).
LA - eng
UR - http://eudml.org/doc/74267
ER -

References

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  1. [1] R. BOTT, Lectures on characteristic classes and foliations, Lecture Notes on Math., n° 279 (1972), Springer-Verlag, Berlin. Zbl0241.57010MR50 #14777
  2. [2] S.S. CHERN and J. SIMONS, Some cohomology classes in principal fibre bundles and their applications to Riemannian geometry, Proc. Nat. Acad. Sci. U.S.A., 66 (1971), 791-794. Zbl0209.25401MR43 #5453
  3. [3] S.S. CHERN and J. SIMONS, Characteristic forms and transgression, I, Preprint. Zbl0283.53036
  4. [4] Luis A CORDERO, Special connections on almost-multifoliate Riemannian manifolds, Preprint. Zbl0312.53021
  5. [5] Luis A. CORDERO, Sobre la geometria de las variedades multifoliadas, III Jornadas Mat. Hispano-Lusitanas, Sevilla 1974. 
  6. [6] C. GODBILLON, 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. [7] S. KOBAYASHI and K. NOMIZU, Foundations of Differential Geometry, I, II. Interscience Publ. (1963-1969). Zbl0175.48504
  8. [8] K. KODAIRA and D.C. SPENCER, Multifoliate structure, Ann. of Math., 74 (1961), 52-99. Zbl0123.16401MR26 #5595
  9. [9] D. LEHMANN, J-homotopie dans les espaces de connexions et classes exotiques de Chern-Simons, C.R. Acad. Sc. Paris, 275 A (1972), 835-838. Zbl0242.57010MR47 #9637
  10. [10] D. LEHMANN, Classes caractéristiques exotiques et J-connexité des espaces de connexions, Preprint. Zbl0268.57009
  11. [11] I. VAISMAN, Almost-multifoliate Riemannian manifolds, Ann. Sc. Univ. “Al. I. Cuza”, sect. I, vol. XVI (1970), 97-104. Zbl0202.53003MR43 #1075

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