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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

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

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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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
    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
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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