Bernoulli diffeomorphisms with n − 1 non-zero exponents
- 1 March 1981
- journal article
- research article
- Published by Cambridge University Press (CUP) in Ergodic Theory and Dynamical Systems
- Vol. 1 (1) , 1-7
- https://doi.org/10.1017/s0143385700001127
Abstract
For every manifold of dimension n ≥ 5 a diffeomorphism f which has n − 1 non-zero characteristic exponents almost everywhere is constructed. The diffeomorphism preserves the Lebesgue measure and is Bernoulli with respect to this measure. To produce this example a diffeomorphism of the 2-disk is extended by means of an Anosov flow, and this skew product is embedded in ℝn.Keywords
This publication has 9 references indexed in Scilit:
- Ergodic Properties of Geodesic Flows on Closed Riemannian Manifolds of Negative CurvaturePublished by Taylor & Francis ,2020
- Smooth non-BernoulliK-automorphismsInventiones Mathematicae, 1980
- Bernoulli Diffeomorphisms on SurfacesAnnals of Mathematics, 1979
- GEODESIC FLOWS ON CLOSED RIEMANNIAN MANIFOLDS WITHOUT FOCAL POINTSMathematics of the USSR-Izvestiya, 1977
- Products of knots, branched fibrations and sums of singularitiesTopology, 1977
- CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORYRussian Mathematical Surveys, 1977
- Description of ?-partition of a diffeomorphism with invariant measureMathematical Notes, 1977
- FAMILIES OF INVARIANT MANIFOLDS CORRESPONDING TO NONZERO CHARACTERISTIC EXPONENTSMathematics of the USSR-Izvestiya, 1976
- Differential TopologyPublished by Springer Nature ,1976