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Approximation of Foliations

Published online by Cambridge University Press:  20 November 2018

Maurice Cohen*
Affiliation:
Sir George Williams University, Montreal, Quebec
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Let be two foliations on a Cr manifold M. We say and are Ck-conjugate if there exists a Ck diffeomorphism h:M→M such that h maps the leaves of onto the leaves of .

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1971

References

1. Cohen, M., Smoothing one dimensional foliations on S-1 × S-1 (to appear).Google Scholar
2. Denjoy, A., Sur les courbes définies par les equations différentielles à la surface du tore, J. Math. Pures Appl. (9) 11 (1932), 333-375.Google Scholar
3. Haefliger, A., Variétés feuilletées, Ann. Scuola Norm. Sup. Pisa, (3) 16 (1962), 367-397.Google Scholar
4. Munkres, J. R., Elementary differential topology, Ann. of Math. Studies no. 54, Princeton Univ. Press, Princeton, N.J., 1963.Google Scholar
5. Reeb, G., Sur certaines propriétés topologiques des variétés feuilletées, Actualités Sci. Indust., 1183, Hermann, Paris, 1952.Google Scholar