Explore: Quasiconformal Mappings

eccentricity. Quasiconformal mappings are a generalization of conformal mappings that permit the bounded distortion of angles locally. Quasiconformal mappings were

of Teichmüller to the study of moduli was the introduction of quasiconformal mappings to the subject. They allow us to give much more depth to the study

57008. Connes, Alain; Sullivan, Dennis; Teleman, Nicolae (1994). "Quasiconformal mappings, operators on Hilbert space and local formulae for characteristic

contributions to complex analysis, including the introduction of quasiconformal mappings and differential geometric methods into the study of Riemann surfaces

correspondence under quasiconformal mappings. Acta Math. 96 (1956), 125–142. doi:10.1007/BF02392360 Ahlfors, Lars; Bers, Lipman. Riemann's mapping theorem for

curve in the complex plane that is the image of a circle under a quasiconformal mapping of the plane onto itself. Originally introduced independently by

conformal mappings, gave a treatment based on the work of Herbert Grötzsch and René de Possel from the early 1930s; it was the precursor of quasiconformal mappings

group Γ can be read off from such a polygon. Using the theory of quasiconformal mappings and the Beltrami equation, it can be shown there is a canonical

for some fixed 1 < p < ∞ and some ω, then ω ∈ Ap. For K > 1, a K-quasiconformal mapping is a homeomorphism  f  : Rn →Rn such that f ∈ W l o c 1 , 2 ( R

necessarily their size or curvature. In mathematical complex analysis, a quasiconformal mapping, introduced by Grötzsch (1928) and named by Ahlfors (1935), is a