<p>In this paper, we demonstrate that accessibility is <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(C^\omega \)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>C</mi> <mi>ω</mi> </msup> </math></EquationSource> </InlineEquation>-dense among real-analytic partially hyperbolic diffeomorphisms with a one-dimensional center, whether volume-preserving or not.</p>

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Accessibility for Real Analytic Partially Hyperbolic Diffeomorphisms with 1D Center

  • Raúl Ures,
  • Jie Wang

摘要

In this paper, we demonstrate that accessibility is \(C^\omega \) C ω -dense among real-analytic partially hyperbolic diffeomorphisms with a one-dimensional center, whether volume-preserving or not.