paper

On Harmonic Mappings into Weil-Peterssson Completed Teichmuller Spaces

arXiv:math/0112003

Abstract

Harmonic mappings into Teichmuller spaces appear in the study of manifolds which are fibrations whose fibers are Riemann surfaces. In this article we will study the existence and uniquenesses questions of harmonic mappings into Teichmuller spaces, as well as some local and global behavior of the harmonic images induced by the Weil-Petersson geometry of Teichmuller spaces.

14 pages, Latex

On Harmonic Mappings into Weil-Peterssson Completed Teichmuller Spaces · wovepaper