Asymptotically conformal classes and non-Strebel points

@article{GuowuYao2016,
abstract = {Let T(Δ) be the universal Teichmüller space on the unit disk Δ and T₀(Δ) be the set of asymptotically conformal classes in T(Δ). Suppose that μ is a Beltrami differential on Δ with [μ] ∈ T₀(Δ). It is an interesting question whether [tμ] belongs to T₀(Δ) for general t ≠ 0, 1. In this paper, it is shown that there exists a Beltrami differential μ ∈ [0] such that [tμ] is a non-trivial non-Strebel point for any $t ∈ (-1/||μ||_\{∞\},1/||μ||_\{∞\}) ∖ \{0,1\}$.},
author = {Guowu Yao},
journal = {Studia Mathematica},
keywords = {teichm"uller space; quasiconformal mapping; Strebel point; asymptotically conformal},
language = {eng},
number = {1},
pages = {13-24},
title = {Asymptotically conformal classes and non-Strebel points},
url = {http://eudml.org/doc/285811},
volume = {233},
year = {2016},
}

TY - JOUR
AU - Guowu Yao
TI - Asymptotically conformal classes and non-Strebel points
JO - Studia Mathematica
PY - 2016
VL - 233
IS - 1
SP - 13
EP - 24
AB - Let T(Δ) be the universal Teichmüller space on the unit disk Δ and T₀(Δ) be the set of asymptotically conformal classes in T(Δ). Suppose that μ is a Beltrami differential on Δ with [μ] ∈ T₀(Δ). It is an interesting question whether [tμ] belongs to T₀(Δ) for general t ≠ 0, 1. In this paper, it is shown that there exists a Beltrami differential μ ∈ [0] such that [tμ] is a non-trivial non-Strebel point for any $t ∈ (-1/||μ||_{∞},1/||μ||_{∞}) ∖ {0,1}$.
LA - eng
KW - teichm"uller space; quasiconformal mapping; Strebel point; asymptotically conformal
UR - http://eudml.org/doc/285811
ER -