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math.DG2023
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…
math.DG2019★ 2 cited
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…