# Ergodicity and partial hyperbolicity on Seifert manifolds

## TL;DR

This paper proves that conservative partially hyperbolic diffeomorphisms isotopic to the identity on Seifert 3-manifolds exhibit ergodic behavior, advancing understanding of dynamical systems on these manifolds.

## Contribution

It establishes ergodicity for a class of partially hyperbolic diffeomorphisms on Seifert 3-manifolds, a new result in the field.

## Key findings

- Conservative partially hyperbolic diffeomorphisms on Seifert 3-manifolds are ergodic.
- The result applies to those isotopic to the identity.
- Advances the understanding of dynamical properties on Seifert manifolds.

## Abstract

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