TITLE

# A variational construction of the TeichmÃ¼ller map

AUTHOR(S)
Chikako Mese
PUB. DATE
September 2004
SOURCE
Calculus of Variations & Partial Differential Equations;Sep2004, Vol. 21 Issue 1, p15
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
Gerstenhaber and Rauch proposed the problem of constructing the TeichmÃ¼ller map by a maximum-minimum approach involving harmonic maps. In this paper, we show that the TeichmÃ¼ller map can be constructed by this variational characterization. The key idea is to consider a class of metrics on the target which include singular metrics and use the harmonic map theory in this setting.
ACCESSION #
13918439

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