The Strong Stable Foliation Theorem : A Geometrical Proof
DOI:
https://doi.org/10.22199/S07160917.1992.0002.00003Keywords:
Diffeomorfismos, FoliaciónAbstract
We give a geometrical proof of the existence of the strong stable foliation for hyperbolic fixed or hyperbolic periodic points of diffeomorphisms.
References
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[H-P-S] Hirsch, M.; Pugh, C.; Shub, M.: Invariant Manifolds, Lectures Notes in Math., 583. Springer- Verlag, 1977.
[Ta] Takens F.: Moduli of Stability for Gradient Vector Fields. North-Holland Math. Studies 103, Singularities & Dynamical Systems. S. N. Pnevmatikos
(Ed.) Apendix 2 pp. 77-79, 1985.
[J-B] Bröker, T.; Jänich K.: Introduction to Differential Topology. Springer-Verlag.
[C-L] Lins, A.; Camacho C.: Geometric Theory of Foliations, Birkhauser 1985.
[L] Lima, E.: Variedades Diferenciáveis, Monografias IMPA,1973.
[H-P-S] Hirsch, M.; Pugh, C.; Shub, M.: Invariant Manifolds, Lectures Notes in Math., 583. Springer- Verlag, 1977.
[Ta] Takens F.: Moduli of Stability for Gradient Vector Fields. North-Holland Math. Studies 103, Singularities & Dynamical Systems. S. N. Pnevmatikos
(Ed.) Apendix 2 pp. 77-79, 1985.
[J-B] Bröker, T.; Jänich K.: Introduction to Differential Topology. Springer-Verlag.
[C-L] Lins, A.; Camacho C.: Geometric Theory of Foliations, Birkhauser 1985.
[L] Lima, E.: Variedades Diferenciáveis, Monografias IMPA,1973.
Published
2018-04-02
How to Cite
[1]
S. Plaza, “The Strong Stable Foliation Theorem : A Geometrical Proof”, Proyecciones (Antofagasta, On line), vol. 11, no. 2, pp. 113-124, Apr. 2018.
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