15 citations · 23 across the 7 of their papers we have counts for
8 papers
Anosov actions: minimality of foliations or suspension action
Rodrigo R. Lopes, Carlos Maquera, Régis Varão
We prove that an Anosov action of over a compact manifold transitive on regular sub-cones satisfies the dichotomy: each stable and unstable leaf is dense or the…
Algebraic Anosov actions of Nilpotent Lie groups
Thierry Barbot, Carlos Maquera
In this paper we classify algebraic Anosov actions of nilpotent Lie groups on closed manifolds, extending the previous results by P. Tomter. We show that they are all nil-suspensio…
On a weak Jelonek's real Jacobian Conjecture in
Alexandre Fernandes, Carlos Maquera, Jean Venato Santos
Let be a polynomial local diffeomorphism and let denote the set of not proper points of . The Jelonek's real Jacobian Conjecture states that if $\codim(S_Y…
On integrable codimension one Anosov actions of IR^k
Thierry Barbot, Carlos Maquera
In this paper, we consider codimension one Anosov actions of IR^k, k ? 1, on closed connected orientable manifolds of dimension n+k with n? 3. We show that the fundamental group of…
A note on open 3-manifolds supporting foliations by planes
Carlos Maquera, Carlos Biasi
We show that if , an open connected -manifold with finitely generated fundamental group, is foliated by closed planes, then is a free group. This implies t…
Transitivity of codimension one Anosov actions of R^k on closed manifolds
Thierry Barbot, Carlos Maquera
In this paper, we define codimension one Anosov actions of $\RR^k, k\geq 2,$ on a closed connected orientable manifold . We prove that if the ambient manifold has dimension grea…