3 papers
math.DS2024
Regularity and persistence in non-Weinstein Liouville geometry via hyperbolic dynamics
Surena Hozoori
We explore the construction of non-Weinstein Liouville geometric objects based on Anosov 3-flows, intoduced by Mitsumatsu, in the generalized framework of Liouville Interpolation S…
math.DG2019
Ricci Curvature, Reeb Flows and Contact 3-Manifolds
Surena Hozoori
Given a contact 3-manifold we consider the problem of when a given function can be realized as the Ricci curvature of a Reeb vector field for the contact structure. We will use top…
math.GT2019
Dynamics and Topology of Conformally Anosov Contact 3-Manifolds
Surena Hozoori
We provide obstructions to the existence of conformally Anosov Reeb flows on a 3-manifold that partially generalize similar obstructions to Anosov Reeb flows. In particular, we sho…