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Invariant manifolds. (English) Zbl 0226.58009

MSC:
58J45 Hyperbolic equations on manifolds
58A99 General theory of differentiable manifolds
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References:
[1] R. Abraham and S. Smale, Nongenericity of \Omega -stability (to appear). · Zbl 0215.25102
[2] D. V. Anosov, Geodesic flows on closed Riemannian manifolds of negative curvature, Trudy Mat. Inst. Steklov. 90 (1967), 209 (Russian). · Zbl 0176.19101
[3] Morris W. Hirsch and Charles C. Pugh, Stable manifolds and hyperbolic sets, Global Analysis (Proc. Sympos. Pure Math., Vol. XIV, Berkeley, Calif., 1968), Amer. Math. Soc., Providence, R.I., 1970, pp. 133 – 163.
[4] Morris W. Hirsch, Foliations and noncompact transformation groups, Bull. Amer. Math. Soc. 76 (1970), 1020 – 1023. · Zbl 0226.58008
[5] Ivan Kupka, Stabilité des variétés invariantes d’un champ de vecteurs pour les petites perturbations, C. R. Acad. Sci. Paris 258 (1964), 4197 – 4200 (French). · Zbl 0117.05403
[6] C. Pugh and M. Shub, Some more smooth ergodic actions (in preparation). · Zbl 0225.28009
[7] C. Pugh and M. Shub, \Omega -stability for flows (in preparation). · Zbl 0212.29102
[8] C. Pugh and M. Shub, Linearizing normally hyperbolic diffeomorphisms and flows (in preparation). · Zbl 0206.25802
[9] Robert J. Sacker, A perturbation theorem for invariant Riemannian manifolds, Differential Equations and Dynamical Systems (Proc. Internat. Sympos., Mayaguez, P.R., 1965) Academic Press, New York, 1967, pp. 43 – 54.
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