On Harmonic Mappings into Weil-Peterssson Completed Teichmuller Spaces

Mathematics – Differential Geometry

Scientific paper

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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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