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math.GT2010★ 1 cited
Almost-isometry between Teichmüller metric and length-spectra metric on moduli space
Lixin Liu, Weixu Su
We prove an analogue of Farb-Masur's theorem that the length-spectra metric on moduli space is "almost isometric" to a simple model which is induced by the cone m…
math.GT2009
Length spectra and the Teichmueller metric for surfaces with boundary
Lixin Liu, Athanase Papadopoulos, Weixu Su +1
We consider some metrics and weak metrics defined on the Teichmueller space of a surface of finite type with nonempty boundary, that are defined using the hyperbolic length spectru…
math.GT2009★ 8 cited
On length spectrum metrics and weak metrics on Teichmueller spaces of surfaces with boundary
Lixin Liu, Athanase Papadopoulos, Weixu Su +1
We define and study metrics and weak metrics on the Teichmueller space of a surface of topologically finite type with boundary. These metrics and weak metrics are associated to the…