On Harmonic Mappings into Weil-Peterssson Completed Teichmuller Spaces

Details On Harmonic Mappings into Weil-Peterssson Completed Teichmuller Spaces On Harmonic Mappings into Weil-Peterssson Completed Teichmuller Spaces

2001-11-30

arxiv.org/abs/math/0112003v1

Mathematics

Differential Geometry

14 pages, Latex

Scientific paper

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.

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