Anosov diffeomorphisms on tori
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- by John Franks
- Trans. Amer. Math. Soc. 145 (1969), 117-124
- DOI: https://doi.org/10.1090/S0002-9947-1969-0253352-7
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References
- André Avez, Topologie des difféomorphismes d’Anosov qui possèdent un invariant intégral, C. R. Acad. Sci. Paris Sér. A-B 265 (1967), A508–A510 (French). MR 231973
- Albrecht Dold, Fixed point index and fixed point theorem for Euclidean neighborhood retracts, Topology 4 (1965), 1–8. MR 193634, DOI 10.1016/0040-9383(65)90044-3
- John Franks, Anosov diffeomorphisms, Global Analysis (Proc. Sympos. Pure Math., Vols. XIV, XV, XVI, Berkeley, Calif., 1968) Amer. Math. Soc., Providence, R.I., 1970, pp. 61–93. MR 0271990 —, Topological conjugacy and the fundamental group, Lecture Notes of the Amer. Math. Soc. Summer Institute on Global Analysis, (1968).
- Morris W. Hirsch and Charles C. Pugh, Stable manifolds for hyperbolic sets, Bull. Amer. Math. Soc. 75 (1969), 149–152. MR 254865, DOI 10.1090/S0002-9904-1969-12184-1
- Georges Reeb, Sur certaines propriétés topologiques des variétés feuilletées, Publ. Inst. Math. Univ. Strasbourg, vol. 11, Hermann & Cie, Paris, 1952 (French). MR 0055692
- S. Smale, Differentiable dynamical systems, Bull. Amer. Math. Soc. 73 (1967), 747–817. MR 228014, DOI 10.1090/S0002-9904-1967-11798-1
Bibliographic Information
- © Copyright 1969 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 145 (1969), 117-124
- MSC: Primary 57.20
- DOI: https://doi.org/10.1090/S0002-9947-1969-0253352-7
- MathSciNet review: 0253352