On parameterizations of Teichmüller spaces of surfaces with boundary

Abstract

In \cite{rigidity}, Luo introduced a ${\psi }_{\lambda }$ edge invariant which turns out to be a coordinate of the Teichmüller space of a surface with boundary. And he proved that for $\lambda \ge 0$, the image of the Teichmüller space under ${\psi }_{\lambda }$ edge invariant coordinate is an open cell. In this paper we verify his conjecture that for $\lambda <0$, the image of the Teichmüller space is a bounded convex polytope.

12 pages, 4 figures

References in corpus (1)

• Rigidity of Polyhedral Surfaces

Cited by in corpus (1)

• Rigidity of Polyhedral Surfaces