5 papers
On Non-Wandering Sets with Non-empty Interior for Endomorphisms
J. Santana C. Costa, F. Micena
In this paper, we study transitivity for endomorphisms. Our results are related to a conjecture of F. Abdenur, C. Bonatti and L. Díaz, concerning the relationship between transitiv…
A generalized Livšic--Sinai Theorem for endomorphisms
J. Santana C. Costa, F. Micena
The classical theorem of Livšic and Sinai states that a transitive Anosov diffeomorphism whose Jacobian along every periodic orbit equals one admits an invariant volume form.…
Rigidity of Lyapunov exponents for derived from Anosov diffeomorphisms
José Santana Costa, Ali Tahzibi
For a class of volume preserving partially hyperbolic diffeomorphisms (or non-uniformly Anosov) $f\colon {\T}^d\rightarrow{\T}^d$ homotopic to linear Anosov automorphism, we show t…
On Lyapunov exponents properties of special Anosov endomorphisms on
José Santana Costa, Fernando Micena
This work is addressed to study Anosov endomorphisms of We are interested to obtain metric and topological information on such Anosov endomorphism by com…
Some Generic Properties of Partially Hyperbolic Endomorphisms
F. Micena, J. S. C. Costa
In this work, we deal with a notion of partially hyperbolic endomorphism. We explore topological properties of this definition and we obtain, among other results, obstructions to g…