Transversally parallelizable foliations of codimension two-Reference-Cited by-同舟云学术

Transversally parallelizable foliations of codimension two

Published:1974 Issue:0 Volume:194 Page:79-102
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Conlon Lawrence

Abstract

We study framed foliations such that the framing of the normal bundle can be chosen to be invariant under the linear holonomy of each leaf. In codimension one there is a strong structure theory for such foliations due, e.g., to Novikov, Sacksteder, Rosenberg, Moussu. An analogous theory is developed here for the case of codimension two.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1974-194-00/S0002-9947-1974-0370617-0/S0002-9947-1974-0370617-0.pdf

Reference17 articles.

1. Princeton Mathematical Series, No. 26;Ahlfors, Lars V.,1960

2. Lectures on characteristic classes and foliations;Bott, Raoul,1972

3. C. Chevalley, Theory of Lie groups. Vol. I, Princeton Math. Series, vol. 8, Princeton Univ. Press, Princeton, N. J., 1946. MR 7, 412.

4. Variétés feuilletées;Haefliger, André;Ann. Scuola Norm. Sup. Pisa Cl. Sci. (3),1962

5. Feuilletages sur les variétés ouvertes;Haefliger, A.;Topology,1970

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