Huyi Hu, Anna Talitskaya
Abstract
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We construct a smooth hyperbolic volume preserving diffeomorphism on a four dimensional compact Riemannian manifold which has countably many ergodic components and is arbitrarily close to the identity map.
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We construct a smooth hyperbolic volume preserving diffeomorphism on a four dimensional compact Riemannian manifold which has countably many ergodic components and is arbitrarily close to the identity map.
Key concepts: Diffeomorphism, Ergodic theory, Identity (music), Mathematics, Pure mathematics, Countable set, Geology, Physics