Description of π-partition of a diffeomorphism with invariant measure

Research output: Contribution to journalArticle

5 Scopus citations

Abstract

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
Volume22
Issue number1
DOIs
StatePublished - Jul 1 1977

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Fingerprint Dive into the research topics of 'Description of π-partition of a diffeomorphism with invariant measure'. Together they form a unique fingerprint.

  • Cite this