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Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

 

 

Invariant manifolds


Authors: M. W. Hirsch, C. C. Pugh and M. Shub
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
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References [Enhancements On Off] (What's this?)

  • 1. R. Abraham and S. Smale, Nongenericity of Ω-stability (to appear).
  • 2. D. V. Anosov, Geodesic flows on closed Riemannian manifolds of negative curvature, Trudy Mat. Inst. Steklov. 90 (1967), 209 (Russian). MR 0224110
  • 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. MR 0271991
  • 4. Morris W. Hirsch, Foliations and noncompact transformation groups, Bull. Amer. Math. Soc. 76 (1970), 1020–1023. MR 0292102, https://doi.org/10.1090/S0002-9904-1970-12539-3
  • 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). MR 0162036
  • 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).
  • 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. MR 0218700

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Additional Information

DOI: https://doi.org/10.1090/S0002-9904-1970-12537-X