Anosov does not imply infinitesimally ergodic
R. C. Swanson and Carmen Chicone
Proc. Amer. Math. Soc. 75 (1979), 169-170
Primary 58F15; Secondary 28D99
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Abstract: A class of hyperbolic toral automorphisms is exhibited which are not infinitesimally ergodic. These provide counterexamples to the conjecture that Anosov diffeomorphisms are infinitesimally ergodic.
- C. Chicone and R. Swanson, Infinitesimal ergodicity for some dynamical systems (preprint).
- J. Robbin, Topological conjugacy and structural stability for discrete dynamical systems, Bull. Amer. Math. Soc. 78 (1972), 923-952. MR 0312529 (47:1086)
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