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On a class of foliations and the evaluation of their characteristic classes

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Commentarii Mathematici Helvetici

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References

  • [B]Baker, Daniel,On a class of foliations and the evaluation of their characteristic classes, Bull. Amer. Math. Soc.,83 (1977), 394–396.

    Article  MathSciNet  MATH  Google Scholar 

  • [BR]Bernstein, I. N. andRozenfeld, B. I.,Homogeneous spaces of infinite-dimensional Lie algebras and characteristic classes of foliations, Russian Mathematical Surveys, Vol. 28, No. 4, 1973, p. 107.

    Article  MathSciNet  MATH  Google Scholar 

  • [Bo1]Borel, A. Sur la Cohomologie des Espaces Fibres Principaux et des Espaces Homogenes de Groups de Lie compacts, Annals of Math.57 (1953) 115–207.

    Article  MathSciNet  Google Scholar 

  • [Bo2]—,Compact Clifford-Klein forms of symmetric spaces, Topology,2 (1963), 111.

    Article  MathSciNet  MATH  Google Scholar 

  • [BT]Bott, R.,Lectures on characteristic classes and foliations, Notes byL. Conlon, Mexico, 1971. Springer Lecture Notes, No. 279.

  • [CA]Cartan, H. La transgression dans un groupe de Lie et dans un espace fibre principal, Colloque de Topologie algebrique; Bruxelles (1950), p. 57–71.

  • [C]Chern, S. S.,Complex manifolds without potential theory, Van Nostrand, 1967.

  • [CS]— andSimons, J.,Characteristic forms and geometric invariants, Annals of Math.99 (1974), 48–69.

    Article  MathSciNet  Google Scholar 

  • [CE]Chevalley, C. andEilenberg, S.,Cohomology theory of Lie groups and Lie algebras, Trans. American Math. Soc.,63 (1948), 85.

    Article  MathSciNet  MATH  Google Scholar 

  • [G]Godbillon, C., Seminaire Bourbaki 72/73, No. 421,Cohomologies d'algebras de Lie de champs de vecteurs formels, p. 69, Springer Lecture Notes, No. 383.

  • [GV]— andVey, J.,Un invariant des feuilletages de codimensional 1, C.R. Acad. Sci. Paris Ser, A-B 273 (1971), A92-A95.

    MathSciNet  Google Scholar 

  • [GHV]Grueb, W., Halperin, S. and Vanstone, R.,Connections, Curvature, and Cohomology, Vol. III Academic Press, 1976.

  • [HI1]Heitsch, J.,Deformations of secondary characteristic classes, Berkeley preprint.

  • [HI2]—,Residues and characteristic classes of foliations, Bull. Amer. Math. Soc.,83 (1977), 397–399.

    MathSciNet  MATH  Google Scholar 

  • [H]Helgason, S.,Differential geometry and symmetric spaces, Academic Press, 1962.

  • [HP]Hodge, W. V. D. andPedoe, D.,Methods of algebraic geometry, Cambridge University Press, 1947.

  • [KT1]Kamber, F. andTondeur, Ph.,Foliated bundles and characteristic classes, Springer Lecture Notes, No. 493.

  • [KT2]Kamber, F. andTondeur, Ph.,On the linear independence of certain cohomology classes of BΓ to appear.

  • [KN]Kobayashi, S. andNomizu, K.,Foundations of differential geometry Interscience Tracts in Pure and Applied Math., No. 15, Interscience, 1969.

  • [NR]Narasimhan, M. S. andRamanan, S.,Existence of universal connections, Amer. J. Math.,83 (1961), pp. 563–572,85 (1963), 223–321.

    Article  MathSciNet  MATH  Google Scholar 

  • [S]Satake, I.,Classification theory of semi-simple algebraic groups, Marcel Dekker, Inc., 1971.

  • [Y]Yamato, K.,Examples of foliations with non-trivial characteristic classes, Osaka Journal of Math.,12, August, 1975, No. 2.

    Google Scholar 

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Baker, D. On a class of foliations and the evaluation of their characteristic classes. Commentarii Mathematici Helvetici 53, 334–363 (1978). https://doi.org/10.1007/BF02566083

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