Accessibility and Ergodicity of Partially Hyperbolic Diffeomorphisms without Periodic Points
2024
Online
report
We prove that every $C^2$ conservative partially hyperbolic diffeomorphism of a closed 3-manifold without periodic points is ergodic, which gives an affirmative answer to the Ergodicity Conjecture by Hertz-Hertz-Ures in the absence of periodic points. We also show that a partially hyperbolic diffeomorphism of a closed 3-manifold $M$ with no periodic points is accessible if the non-wandering set is all of $M$ and the fundamental group $\pi_1(M)$ is not virtually solvable.
Comment: 49 pages, 24 figures
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Accessibility and Ergodicity of Partially Hyperbolic Diffeomorphisms without Periodic Points
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Autor/in / Beteiligte Person: | Feng, Ziqiang ; Ures, Raúl |
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Veröffentlichung: | 2024 |
Medientyp: | report |
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