Teichmüller Space

Elliptic Actions on Teichmüller Space

Quasiconformal Homeomorphisms and Dynamics III: The Teichmüller space of a holomorphic dynamical system

On Asymptotic Weil-Petersson Geometry of Teichmüller Space of Riemann Surfaces

We investigate the asymptotic behavior of curvatures of the Weil-Petersson metric in Teichmüller space. We use a pointwise curvature estimate to study directions, in the tangent space, of extremely negative curvature and directions of asymptotically zero curvatures.

Kobayashi’s and Teichmüller’s Metrics on the Teichmüller Space of Symmetric Circle Homeomorphisms

We give a direct proof of a result of Earle, Gardiner and Lakic, that is, Kobayashi’s metric and Teichmüller’s metric coincide with each other on the Teichmüller space of symmetric circle homeomorphisms.

Asymptotic Flatness of the Weil–Petersson Metric on Teichmüller Space

In this paper, we show that there is no negative upper bound for the sectional curvature of Teichmüller space of Riemann surfaces with the Weil–Petersson metric. Mathematics Subject Classifications (2000). 32G15, 53C21, 30F60.

On the inclusion of the quasiconformal Teichmüller space into the length-spectrum Teichmüller space

Given a surface of infinite topological type, there are several Teichmüller spaces associated with it, depending on the basepoint and on the point of view that one uses to compare different complex structures. This paper is about the comparison between the quasiconformal Teichmüller space and the length-spectrum Teichmüller space. We work under this hypothesis that the basepoint is upper-bounde...