4 papers
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…
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…
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…