Quasiconformal mappings, with applications to differential equations, function theory and topology

DOI10.1090/S0002-9904-1977-14390-5zbMath0419.30016OpenAlexW2061445354WikidataQ57484813 ScholiaQ57484813MaRDI QIDQ3852440

Lipman Bers

Publication date: 1977

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9904-1977-14390-5

zbMATH Keywords

Schwarzian derivativeuniformizationTeichmüller spacesplane quasiconformal mappings of Riemann surfaces

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Quasiconformal mappings in the complex plane (30C62) Extremal problems for conformal and quasiconformal mappings, other methods (30C75)

Related Items

Accessory parameters for four-punctured spheres, PCBC: quasiconformality of point cloud mappings, On the Teichmüller-Wittich-Belinskij theorem, Dispersionless scalar integrable hierarchies, Whitham hierarchy, and the quasiclassical ∂̄-dressing method, A Unifying Framework for $n$-Dimensional Quasi-Conformal Mappings, Bohr inequalities for certain classes of harmonic mappings, Computing quasiconformal maps using an auxiliary metric and discrete curvature flow, Use of quadratic differentials for description of defects and textures in liquid crystals and \(2+1\) gravity, 3D Orientation-Preserving Variational Models for Accurate Image Registration, Quasi‐Classical Approximation in Vortex Filament Dynamics. Integrable Systems, Gradient Catastrophe, and Flutter, Quasiconformal extension of quasisymmetric mappings compatible with a Möbius group, Open conformal cobordisms, Properties of squeezing functions and global transformations of bounded domains, Topology-preserving 3D image segmentation based on hyperelastic regularization, Moduli spaces and macromolecules, On the scaling ratios for Siegel disks, Spirals and the universal Teichmüller space, A novel diffeomorphic model for image registration and its algorithm, Canonical mappings between Teichmüller spaces, Closed trajectories for quadratic differentials with an application to billiards, Bäcklund transformation and the Painlevé property, Finite dimensional Teichmüller spaces and generalizations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Riemann's mapping theorem for variable metrics
• On a class of geodesics in Teichmüller space
• On the classification of Kleinian groups II-signatures
• Semi-direct products of Fuchsian groups and uniformization
• Univalent functions and the Schwarzian derivative
• An extremal problem for quasiconformal mappings and a theorem by Thurston
• A crash course on Kleinian groups. Lectures given at a special session at the January 1974 meeting of the American Mathematical Society at San Francisco
• On the differential geometry of Teichmüller spaces
• A fibre bundle description of Teichmüller theory
• Quasi-conformal mappings in n-space and the rigidity of hyperbolic space forms
• On homotopic mappings of Riemann surfaces
• Complex-analytic properties of certain Zariski open sets on algebraic varieties
• Lectures on \(n\)-dimensional quasiconformal mappings
• Quasiconformal reflections
• On quasiconformal mappings
• Simultaneous uniformization
• A Uniqueness Theorem for Beltrami Equations
• On the geometry and dynamics of diffeomorphisms of surfaces
• A Comparison of Metrics on Teichmuller Space
• Holomorphic convexity of Teichmüller spaces
• Uniformization by Beltrami equations
• Automorphic Forms and Poincare Series for Infinitely Generated Fuchsian Groups
• The Teichmüller space of an arbitrary Fuchsian group
• Reduced Teichmuller Spaces
• Über die analytische Darstellung von Abbildungsfunktionen, insbesondere von Extremalfunktionen der Theorie der konformen Abbildung.
• Wertannahmeprobleme bei quasikonformen Abbildungen mit ortsabhängiger Dilatationsbeschränkung
• Extremal Quasiconformal Mappings with Prescribed Boundary Values
• Uniformization, Moduli, and Kleinian Groups†
• Le type d'homotopie du groupe des difféomorphismes d'une surface compacte
• Diffeomorphisms of the 2-Sphere
• On the Solutions of Quasi-Linear Elliptic Partial Differential Equations
• The Schwarzian derivative and schlicht functions
• Remarks on a paper by Zeev Nehari
• On nonlinear elliptic partial differential equations and hölder continuity
• Existence and uniqueness of a subsonic flow past a given profile