Asymptotically conformal classes and non-Strebel points

• Autorzy: Guowu Yao
• Języki publikacji: EN

Abstrakty

EN

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 $t ∈ (-1/||μ||_{∞},1/||μ||_{∞}) ∖ {0,1}$.

Kategorie tematyczne

• 30C62: Quasiconformal mappings in the plane
• 30C75: Extremal problems for conformal and quasiconformal mappings, other methods

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2016
• Tom: 233
• Numer: 1
• Strony: 13-24

Daty

wydano

2016

Twórcy

autor

Guowu Yao

• Department of Mathematical Sciences, Tsinghua University, 100084 Beijing, People's Republic of China

Identyfikatory

DOI

10.4064/sm8329-4-2016