Geodesic
Smoothing One-Dimensional Foliations on S1 x S1
Canadian mathematical bulletin, Tome 16 (1973) no. 1, pp. 43-44

Voir la notice de l'article provenant de la source Cambridge University Press

Letf:S1→S1 be an orientation preserving C 1-diffeomorphism. Denote by the flow on S1 x S1 which is the suspension of f(see Smale [5]).We consider the problem of approximating by a smoother foliation. 
Cohen, Maurice. Smoothing One-Dimensional Foliations on S1 x S1. Canadian mathematical bulletin, Tome 16 (1973) no. 1, pp. 43-44. doi: 10.4153/CMB-1973-009-5
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[1] 1. Cohen, M., Approximations of foliations, Canad. Math. Bull. (3) 14 (1971), 311–314. Google Scholar

[2] 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] 3. Reeb, G., Sur certaines propriétés topologiques des variétés feuilletées, Act. Sci. et Ind., 1183, Hermann, Paris, 1952. Google Scholar

[4] 4. Schwartz, A. J., A generalization of a Poincaré-Bendixon theorem to closed two-dimensional manifolds, Amer. J. Math. 85 (1963), 453–458. Google Scholar

[5] 5. Smale, S., Differentiable dynamical systems, Bull. Amer. Math. Soc. 73 (1967), 747–817. Google Scholar

[6] 6. Van Kampen, E. R., The topological transformations of a simple closed curve into itself, Amer. J. Math. 57 (1936), 142–152. Google Scholar

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