TY - EJOUR
DO - 10.1090/S0002-9947-05-03735-9
AB - We define and study a natural weak metric on the Teichmüller space of the torus. A similar metric has been defined by W. Thurston on the Teichmüller space of higher genus surfaces and our definition is motivated by Thurston's definition. However, we shall see that in the case of the torus, this metric has a different behaviour than on higher genus surfaces.
T1 - Thurston's weak metric on the Teichmüller space of the torus
IS - 8
DA - 2005
AU - Belkhirat, Abdelhadi
AU - Papadopoulos, Athanase
AU - Troyanov, Marc
JF - Trans. Am. Math. Soc.
SP - 3311-3324
VL - 357
EP - 3311-3324
ID - 114956
KW - Teichmüller space
KW - Teichmüller metric
KW - Thurston metric
KW - nonsymmetric metric
KW - weak metric
KW - hyperbolic plane
KW - quasi-isometry
UR - http://www.ams.org/tran/2005-357-08/S0002-9947-05-03735-9/home.html
UR - http://infoscience.epfl.ch/record/114956/files/BelkhiratTrans.%20Amer.%20Math.%20Soc.2005.pdf
ER -