Description of π-partition of a diffeomorphism with invariant measure

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For a diffeomorphism of a smooth compact Riemann manifold, retaining a measure equivalent to Riemann volume, a special invariant partition is constructed on a set where at least one value of the characteristic Lyapunov indicators is nonzero. This partition possesses properties analogous to the properties of partition into global condensing sheets for Y-diffeomorphisms while, as the complement to this set, there is partition into points. It is proven that the measurable hull of this partition coincides with the π-partition of a diffeomorphism.

Original languageEnglish (US)
Pages (from-to)506-515
Number of pages10
JournalMathematical Notes of the Academy of Sciences of the USSR
Issue number1
StatePublished - Jul 1977

All Science Journal Classification (ASJC) codes

  • General Mathematics


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