Quasiconformal homeomorphisms between Riemann surfaces

Cabiria Cazacu; Victoria Stanciu

Displaying similar documents to “Quasiconformal homeomorphisms between Riemann surfaces”

On Macbeath-Singerman symmetries of Belyi surfaces with PSL(2,p) as a group of automorphisms

Ewa Tyszkowska (2003)

Open Mathematics

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The famous theorem of Belyi states that the compact Riemann surface X can be defined over the number field if and only if X can be uniformized by a finite index subgroup Γ of a Fuchsian triangle group Λ. As a result such surfaces are now called Belyi surfaces. The groups PSL(2,q),q=p n are known to act as the groups of automorphisms on such surfaces. Certain aspects of such actions have been extensively studied in the literature. In this paper, we deal with symmetries. Singerman showed,...

Discrete and nondiscrete isometric deformations of surfaces in $ℝ^{3}$ .

Sa Earp, Ricardo, Toubiana, Eric (2002)

Sibirskij Matematicheskij Zhurnal

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On boundary homeomorphisms of trans-quasiconformal maps of the disk.

Zakeri, Saeed (2008)

Annales Academiae Scientiarum Fennicae. Mathematica

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Conformal and quasiconformal mappings of close multiply-connected domains.

Samsonia, Z., Zivzivadze, L. (2002)

Georgian Mathematical Journal

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On a result by Clunie and Sheil-Small

Dariusz Partyka, Ken-ichi Sakan (2012)

Annales UMCS, Mathematica

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In 1984 J. Clunie and T. Sheil-Small proved ([2, Corollary 5.8]) that for any complex-valued and sense-preserving injective harmonic mapping F in the unit disk D, if F(D) is a convex domain, then the inequality |G(z2)− G(z1)| < |H(z2) − H(z1)| holds for all distinct points z1, z2∈ D. Here H and G are holomorphic mappings in D determined by F = H + Ḡ, up to a constant function. We extend this inequality by replacing the unit disk by an arbitrary nonempty domain Ω in ℂ and improve it...