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1-Quasiconformal Mappings and CR Mappings on Goursat Groups [PDF]
The Scientific World Journal, 2014 We show that 1-quasiconformal mappings on Goursat groups are CR or anti-CR mappings. This can reduce the determination of 1-quasiconformal mappings to the determination of CR automorphisms of CR manifolds, which is a fundamental problem in the theory of ...
Qing Yan Wu, Zun Wei Fu
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Area distortion under certain classes of quasiconformal mappings [PDF]
Journal of Inequalities and Applications, 2017 In this paper we study the hyperbolic and Euclidean area distortion of measurable sets under some classes of K-quasiconformal mappings from the upper half-plane and the unit disk onto themselves, respectively.
Alfonso Hernández-Montes +1 more
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RINGS AND QUASICONFORMAL MAPPINGS IN SPACE. [PDF]
Proc Natl Acad Sci U S A, 1961 Gehring FW.
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Quasiconformal extension for harmonic mappings on finitely connected domains
Comptes Rendus. Mathématique, 2021 We prove that a harmonic quasiconformal mapping defined on a finitely connected domain in the plane, all of whose boundary components are either points or quasicircles, admits a quasiconformal extension to the whole plane if its Schwarzian derivative is ...
Efraimidis, Iason
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Quasiconformal mappings and curvatures on metric measure spaces
Pracì Mìžnarodnogo Geometričnogo Centru, 2023 In an attempt to develop higher-dimensional quasiconformal mappings on metric measure spaces with curvature conditions, i.e. from Ahlfors to Alexandrov, we show that for n≥2 a noncollapsed RCD(0,n) space with Euclidean volume growth is an n-Loewner space
Jialong Deng
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Quasiconformal rectilinear map
Graphical Models, 2020 Abstract This paper presents a novel method to compute the quasiconformal rectilinear map for a 2D polygonal subdivision, which keeps the original topology and best preserves the shape of the original input in the elasticity sense by the curve-driven quasiconformal mapping.
Yi-Jun Yang, Wei Zeng 0002
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dbar-equations, integrable deformations of quasiconformal mappings and Whitham hierarchy [PDF]
, 2001 It is shown that the dispersionless scalar integrable hierarchies and, in general, the universal Whitham hierarchy are nothing but classes of integrable deformations of quasiconformal mappings on the plane.
Ahlfors +26 more
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Isolated singularities of mappings with the inverse Poletsky inequality
Математичні Студії, 2021 The manuscript is devoted to the study of mappings with finite distortion, which have been actively studied recently. We consider mappings satisfying the inverse Poletsky inequality, which can have branch points.
E.A. Sevost'yanov
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BOHR PHENOMENON FOR THE SPECIAL FAMILY OF ANALYTIC FUNCTIONS AND HARMONIC MAPPINGS
Проблемы анализа, 2020 In this paper we obtain the sharp Bohr radius for a family of bounded analytic functions B` and for the family of sensepreserving K-quasiconformal harmonic mappings of the form f = h + ¬g , where h ∈ B`
S. A. Alkhaleefah
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ON DISTORTION OF THE MODULI OF RINGS UNDER LOCALLY QUASICONFORMAL MAPPINGS IN R^n
Проблемы анализа, 2015 Some of the earlier results of author concerning distortion of the moduli of ring domains under planar locally quasiconformal mappings are generalized on the case of locally quasiconformal mappings in Rn, n ≥ 2.
S. Yu. Graf
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