A few remarks on partially hyperbolic diffeomorphisms of ${\mathbb{T}}^3$ isotopic to Anosov

Abstract

We show that a strong partially hyperbolic diffeomorphism of ${\mathbb{T}}^3$ isotopic to Anosov has a unique quasi-attractor. Moreover, we study the entropy of the diffeomorphism restricted to this quasi-attractor.

13 pages

References in corpus (2)

• Classification of partially hyperbolic diffeomorphisms in 3-manifolds with solvable fundamental group
• Partial hyperbolicity and attracting regions in 3-dimensional manifolds

Cited by in corpus (5)

• Anomalous partially hyperbolic diffeomorphisms III: abundance and incoherence
• Transitive partially hyperbolic diffeomorphisms with one-dimensional neutral center
• On the non-robustness of intermingled basins
• Rigidity of center Lyapunov exponents and $su$-integrability
• Accessibility of derived-from-Anosov systems