Sectional Anosov flows: Existence of Venice masks with two singularities

Abstract

We show the existence of venice masks (i.e. nontransitive sectional Anosov flows with dense periodic orbits, [3], [8], [9],[2]) containing two equilibria on certain compact 3-manifolds. Indeed, we present two type of examples in which the homoclinic classes composing their maximal invariant set intersect in a very different way.