4 papers
On transversely holomorphic partially hyperbolic flows
Mounib Abouanass
In this paper, we study transversely holomorphic partially hyperbolic flows, i.e. those whose holonomy pseudo-group is given by biholomorphic maps. We prove in the seven-dimensiona…
On dynamical coherence of partially hyperbolic flows
Mounib Abouanass
In this paper, we introduce the notion of dynamical coherence for a partially hyperbolic flow on a smooth compact manifold , and prove it under the assumption that ther…
Versal deformation of transversely holomorphic flows on the boundary of strongly convex domains of
Mounib Abouanass
In this article, we give a versal deformation for any transversely holomorphic foliation given by the intersection of the orbits of a holomorphic vector field …
On global rigidity of transversely holomorphic Anosov flows
Mounib Abouanass
In this paper, we study transversely holomorphic flows, i.e. those whose holonomy pseudo-group is given by biholomorphic maps. We prove that for Anosov flows on smooth compact mani…