Riemannian connections and curvatures on the universal Teichmüller space (Q2565517)

The universal Teichmüller space \({\mathfrak U}^{\infty}\) parametrizes the \(C^{\infty}\) Jordan curves in the complex plane. This is an infinite dimensional Riemannian manifold. The author defines Riemannian connection on \({\mathfrak U}^{\infty}\) and, for the Levi-Civita's connection shows that the Ricci curvature is finite.