On Harmonic Mappings into Weil-Peterssson Completed Teichmuller Spaces
Differential Geometry
2007-05-23 v1 Analysis of PDEs
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.
Cite
@article{arxiv.math/0112003,
title = {On Harmonic Mappings into Weil-Peterssson Completed Teichmuller Spaces},
author = {Sumio Yamada},
journal= {arXiv preprint arXiv:math/0112003},
year = {2007}
}
Comments
14 pages, Latex