Every compact manifold carries a completely hyperbolic diffeomorphism

Dmitry Dolgopyat; Yakov Pesin

doi:10.1017/S0143385702000202

Every compact manifold carries a completely hyperbolic diffeomorphism

Dmitry Dolgopyat
, Yakov Pesin

Research output: Contribution to journal › Article › peer-review

48 Scopus citations

Abstract

We show that a smooth compact Riemannian manifold of dimension greater than or equal to 2 admits a Bernoulli diffeomorphism with non-zero Lyapunov exponents.

Original language	English (US)
Pages (from-to)	409-435
Number of pages	27
Journal	Ergodic Theory and Dynamical Systems
Volume	22
Issue number	2
DOIs	https://doi.org/10.1017/S0143385702000202
State	Published - 2002

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1017/S0143385702000202

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title = "Every compact manifold carries a completely hyperbolic diffeomorphism",

abstract = "We show that a smooth compact Riemannian manifold of dimension greater than or equal to 2 admits a Bernoulli diffeomorphism with non-zero Lyapunov exponents.",

author = "Dmitry Dolgopyat and Yakov Pesin",

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language = "English (US)",

volume = "22",

pages = "409--435",

journal = "Ergodic Theory and Dynamical Systems",

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publisher = "Cambridge University Press",

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AU - Dolgopyat, Dmitry

AU - Pesin, Yakov

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N2 - We show that a smooth compact Riemannian manifold of dimension greater than or equal to 2 admits a Bernoulli diffeomorphism with non-zero Lyapunov exponents.

AB - We show that a smooth compact Riemannian manifold of dimension greater than or equal to 2 admits a Bernoulli diffeomorphism with non-zero Lyapunov exponents.

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VL - 22

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EP - 435

JO - Ergodic Theory and Dynamical Systems

JF - Ergodic Theory and Dynamical Systems

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Every compact manifold carries a completely hyperbolic diffeomorphism

Abstract

All Science Journal Classification (ASJC) codes

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