Ergodicity and partial hyperbolicity on the 3-torus

Abstract

If a non-ergodic, partially hyperbolic diffeomorphism on the 3-torus is homotopic to an Anosov diffeomorphism $A$, it is topologically conjugate to $A$.

arXiv comment20 pages

References in corpus (1)

• New criteria for ergodicity and non-uniform hyperbolicity

Cited by in corpus (2)

• Central Lyapunov exponent of partially hyperbolic diffeomorphisms of ${\mathbb{T}}^3$
• Mono-atomic disintegration and Lyapunov exponents for derived from Anosov diffeomorphisms