13 citations · 31 across the 6 of their papers we have counts for
8 papers
Bi-contact plugs and dynamical hyperbolicity
Surena Hozoori
We develop a theory of bi-contact plugs on oriented -manifolds to construct Anosov flows or, more generally, structurally stable nonsingular flows. For a hyperbolic plug with fi…
Strongly adapted contact geometry of Anosov 3-flows
Surena Hozoori
We provide a 3 dimensional contact geometric characterization of Anosov 3-flows based on interactions with Reeb dynamics. We investigate basic properties of the space of the result…
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…
Anosov contact metrics, Dirichlet optimization and entropy
Surena Hozoori
The first main result of this paper classifies contact 3-manifolds admitting critical metrics, i.e. adapted metrics which are the critical points of the Dirichlet energy functional…
On Anosovity, divergence and bi-contact surgery
Surena Hozoori
We discuss a metric description of the divergence of a (projectively) Anosov flow in dimension 3, in terms of its associated growth rates and give metric and contact geometric char…
Symplectic Geometry of Anosov Flows in Dimension 3 and Bi-Contact Topology
Surena Hozoori
We give a purely contact and symplectic geometric characterization of Anosov flows in dimension 3 and discuss a framework to use tools from contact and symplectic geometry and topo…
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…
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…