2021•NonlinearityOpen access

New examples of stably ergodic diffeomorphisms in dimension 3

Gabriel Núñez, Davi Obata, Jana Rodriguez Hertz

Abstract

Abstract We prove that in the isotopy class of any volume preserving partially hyperbolic diffeomorphism in a three-dimensional manifold, there is a non-partially hyperbolic stably ergodic diffeomorphism. In particular, we provide new examples of stably ergodic diffeomorphisms in three-dimensional manifolds with respect to a smooth volume measure.

Open-access reader

About this research paper

What this paper is about

Why it matters

OpenAlex reports 1 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Key concepts: Diffeomorphism, Ergodic theory, Isotopy, Mathematics, Manifold (fluid mechanics), Pure mathematics, Dimension (graph theory), Measure (data warehouse)