Ergodicity and partial hyperbolicity on Seifert manifolds

Andy Hammerlindl; Jana Rodriguez Hertz; Raúl Ures

doi:10.3934/jmd.2020012

Article Contents

2020, Volume 16: 331-348. Doi: 10.3934/jmd.2020012

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Ergodicity and partial hyperbolicity on Seifert manifolds

1.
School of Mathematics, Monash University, Victoria 3800, Australia
2.
Department of Mathematics and SUSTech International Center for Mathematics, Southern University of Science and Technology, 1088 Xueyuan Rd., Xili, Nanshan District, Shenzhen, Guangdong 518055, China

Received: July 19, 2019

Revised: September 17, 2020

Published: November 2020

This research was partially supported by the Australian Research Council. JRH: Partially supported by NSFC 11871262 and NSFC 11871394. RU: Partially supported by NSFC 11871262.

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Abstract

We show that conservative partially hyperbolic diffeomorphism isotopic to the identity on Seifert 3-manifolds are ergodic.

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Mathematics Subject Classification: Primary: 37D30; Secondary: 37A25.

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Figure 1. Center segments in the proof of Lemma 6.3

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