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Expansive canonical coordinates are hyperbolic. (English) Zbl 0502.54044


MSC:

54H20 Topological dynamics (MSC2010)
37D99 Dynamical systems with hyperbolic behavior
54C70 Entropy in general topology

Citations:

Zbl 0445.58021
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Full Text: DOI

References:

[1] Bowen, R., Markov partitions for Axiom A diffeomorphisms, Trans. Amer. Math. Soc., 154, 377-397 (1971) · Zbl 0212.29103
[2] Bowen, R., Topological entropy and Axiom A in global analysis, Proc. Sympos. in Pure Math. of the Amer. Math. Soc., XIV, 23-41 (1979)
[3] Bowen, R., Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms, (Lecture Notes in Mathematics, Vol. 470 (1975), Springer-Verlag: Springer-Verlag New York) · Zbl 0308.28010
[4] Coven, E. M.; Reddy, W. L., Positively expansive maps of compact manifolds in Global Theory of Dynamical Systems, (Lecture Notes in Mathematics (1980), Springer-Verlag: Springer-Verlag New York), 96-110
[5] Frink, A. H., Distance functions and the metrization problem, Bull. Amer. Math. Soc., 43, 1408-1411 (1937) · JFM 63.0571.03
[6] Kelley, J. L., General Topology (1955), Van Nostrand: Van Nostrand Princeton, NJ · Zbl 0066.16604
[7] Ruelle, D., Thermodynamic Formalism, (Encylopedia of Mathematics and its Applications, Vol. 5 (1978), Addison-Wesley: Addison-Wesley Reading, MA) · Zbl 0702.58056
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