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The extension of G-foliations to Tangent bundles of higher order

Published online by Cambridge University Press:  22 January 2016

Luis A. Cordero
Luis A. Cordero*
Affiliation:
Departamento de Geometria y Topologia, Universidad de Santiago de Compostela
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In this paper we describe a canonical procedure for constructing the extension of a G-foliation on a differentiable manifold X to its tangent bundles of higher order and by applying the Bott-Haefliger’s construction of characteristic classes of G-foliations ([2], [3]) we obtain an infinite sequence of characteristic classes for those foliations (Theorem 4.8).

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 56 , January 1975 , pp. 29 - 44
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1975

References

[1] Bott, R., Lectures on characteristic classes and foliations. Lect. Notes on Math., Springer, n° 279, 1972.Google Scholar
[2] Bott, R. and Haefliger, A., On characteristic classes of Γ-foliations. Bull. Am. Math. Soc., 1973.Google Scholar
[3] Haefliger, A., Sur les classes caractéristiques des feuilletages. Sem. Bourbaki, exposé 412, 1971/72.Google Scholar
[4] Kobayashi, S., Transformation groups in differential geometry. Springer-Verlag 1972.CrossRefGoogle Scholar
[5] Morimoto, A., Prolongation of G-structures to tangent bundles of higher order. Nagoya Math. J., 38 (1970), 153–179.Google Scholar