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...

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...

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

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

include orientation-reversing mappings whose Jacobians can be written as any scalar times any orthogonal matrix. For mappings in two dimensions, the...

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

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

manifold Conformal map Quasiconformal mapping Riemann surface Schwarz lemma Winding number Analytic continuation Riemann's mapping theorem People Augustin-Louis...

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...

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...

theory of quasiconformal mappings. Various uniformization theorems can be proved using the equation, including the measurable Riemann mapping theorem and...

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...

manifold Conformal map Quasiconformal mapping Riemann surface Schwarz lemma Winding number Analytic continuation Riemann's mapping theorem People Augustin-Louis...

a direct generalization of the Riemann mapping theorem, but instead a result concerning quasiconformal mappings and solutions of the Beltrami equation...

20th century. Complex analysis, in particular the theory of conformal mappings, has many physical applications and is also used throughout analytic number...

of real analytic quasiconformal mappings of the unit disc D, or equivalently the upper half-plane H, onto itself, with two mappings considered to be equivalent...

for an orientation-preserving mapping f : Ω → R n {\displaystyle f:\Omega \to \mathbb {R} ^{n}} to be a conformal mapping (that is, angle-preserving) is...

manifold Conformal map Quasiconformal mapping Riemann surface Schwarz lemma Winding number Analytic continuation Riemann's mapping theorem People Augustin-Louis...

minimality results related to the Bloch and Landau constants". Quasiconformal mappings and analysis. Ann Arbor: Springer, New York. pp. 55–89. Bloch,...

manifold Conformal map Quasiconformal mapping Riemann surface Schwarz lemma Winding number Analytic continuation Riemann's mapping theorem People Augustin-Louis...

manifold Conformal map Quasiconformal mapping Riemann surface Schwarz lemma Winding number Analytic continuation Riemann's mapping theorem People Augustin-Louis...

manifold Conformal map Quasiconformal mapping Riemann surface Schwarz lemma Winding number Analytic continuation Riemann's mapping theorem People Augustin-Louis...

manifold Conformal map Quasiconformal mapping Riemann surface Schwarz lemma Winding number Analytic continuation Riemann's mapping theorem People Augustin-Louis...

manifold Conformal map Quasiconformal mapping Riemann surface Schwarz lemma Winding number Analytic continuation Riemann's mapping theorem People Augustin-Louis...

manifold Conformal map Quasiconformal mapping Riemann surface Schwarz lemma Winding number Analytic continuation Riemann's mapping theorem People Augustin-Louis...

manifold Conformal map Quasiconformal mapping Riemann surface Schwarz lemma Winding number Analytic continuation Riemann's mapping theorem People Augustin-Louis...

manifold Conformal map Quasiconformal mapping Riemann surface Schwarz lemma Winding number Analytic continuation Riemann's mapping theorem People Augustin-Louis...

manifold Conformal map Quasiconformal mapping Riemann surface Schwarz lemma Winding number Analytic continuation Riemann's mapping theorem People Augustin-Louis...

beginning of his career, Finn did research on minimal surfaces and quasiconformal mappings and later in his career on mathematical problems of hydrodynamics...