Geodesic
On the existence of invariant fiberings for a diffeomorphism of a smooth manifold
Sbornik. Mathematics, Tome 20 (1973) no. 2, pp. 213-222 
Ya. B. Pesin. On the existence of invariant fiberings for a diffeomorphism of a smooth manifold. Sbornik. Mathematics, Tome 20 (1973) no. 2, pp. 213-222. http://geodesic.mathdoc.fr/item/SM_1973_20_2_a1/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The stability of the spectrum of a diffeomorphism of a smooth manifold is studied. Sufficient conditions are given for the integrability of distributions corresponding to separate components of the spectrum. Bibliography: 5 titles.

[1] J. Mather, “Characteristic of Anosov diffeomorphism”, Proc. konink. Niderland, 71:5 (1968), 479–483 | MR | Zbl

[2] M. W. Hirsch, C. C. Pugh, M. Shub, “Invariant manifolds”, Bull. Amer. Math. Soc., 76:5 (1970), 1015–1019 | DOI | MR | Zbl

[3] D. V. Anosov, Ya. G. Sinai, “Nekotorye gladkie ergodicheskie sistemy”, Uspekhi matem. nauk, XXII:5 (137) (1967), 107–168 | MR

[4] S. Leng, Vvedenie v teoriyu differentsiruemykh mnogoobrazii, izd-vo «Mir», Moskva, 1967

[5] D. V. Anosov, “Geodezicheskie potoki na zamknutykh rimanovykh mnogoobraziyakh otritsatelnoi krivizny”, Trudy matem. in-ta imeni V. A. Steklova, XC (1967)