The cohomological equation for jointly integrable partially hyperbolic diffeomorphisms on 3-manifolds
Abstract
Abstract For a jointly integrable partially hyperbolic diffeomorphism f on a 3-manifold M with virtually solvable fundamental group which satisfies Diophantine condition along the center foliation, we show that the cohomological equation φ = u ∘ f − u + c has a continuous solution u if and only if ϕ has trivial periodic cycle functional.
Fields of Study & Subjects
Mathematical Dynamics and Fractals
Quantum chaos and dynamical systems
Geometric and Algebraic Topology
Publication details
- Journal / source
- Nonlinearity
- Volume
- 39
- Issue
- 4
- Pages
- 045017–045017
- Publication date
- 24 April 2026
- Language
- EN