Invariant manifolds
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- by M. W. Hirsch, C. C. Pugh and M. Shub PDF
- Bull. Amer. Math. Soc. 76 (1970), 1015-1019
References
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1. R. Abraham and S. Smale, Nongenericity of Ω-stability (to appear).
- D. V. Anosov, Geodesic flows on closed Riemannian manifolds of negative curvature, Trudy Mat. Inst. Steklov. 90 (1967), 209 (Russian). MR 0224110
- 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. MR 0271991
- Morris W. Hirsch, Foliations and noncompact transformation groups, Bull. Amer. Math. Soc. 76 (1970), 1020–1023. MR 292102, DOI 10.1090/S0002-9904-1970-12539-3
- 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). MR 162036 6. C. Pugh and M. Shub, Some more smooth ergodic actions (in preparation). 7. C. Pugh and M. Shub, Ω-stability for flows (in preparation). 8. C. Pugh and M. Shub, Linearizing normally hyperbolic diffeomorphisms and flows (in preparation).
- 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. MR 0218700
Additional Information
- Journal: Bull. Amer. Math. Soc. 76 (1970), 1015-1019
- MSC (1970): Primary 3465, 2240, 3451, 3453, 5736, 5482
- DOI: https://doi.org/10.1090/S0002-9904-1970-12537-X
- MathSciNet review: 0292101