An Introduction to the Theory of Higher-Dimensional Quasiconformal Mappings

From MaRDI portal
Publication:5738661

DOI10.1090/surv/216zbMath1371.30001OpenAlexW2801699031MaRDI QIDQ5738661

Bruce Palka, Frederick W. Gehring, Gaven J. Martin

Publication date: 12 June 2017

Published in: Mathematical Surveys and Monographs (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/surv/216




Related Items (40)

Condenser capacity and hyperbolic perimeterControlled diffeomorphic extension of homeomorphismsExcursions to the cusps for geometrically finite hyperbolic orbifolds and equidistribution of closed geodesics in regular coversThe Dirichlet principle for inner variationsA conformal characterization of manifolds of constant sectional curvatureCreating and flattening cusp singularities by deformations of bi-conformal energyThe fixed points and cross-ratios of hyperbolic Möbius transformations in bicomplex spaceTriangular ratio metric in the unit diskA Unifying Framework for $n$-Dimensional Quasi-Conformal MappingsQuasiconformal flows on non-conformally flat spheresSome properties of the modulus of a family of curves on an abstract surfaceQuasiconformality to quasisymmetry via weak (L,M)-quasisymmetryPolycircular domains, numerical conformal mappings, and moduli of quadrilateralsQuasiconformal mappings and curvatures on metric measure spacesAn estimate of the modulus of a family of curves on an abstract surface over a cylinderBi-Sobolev boundary singularitiesConstructing knots with specified geometric limitsQuasi‐invariance of modulus and quasisymmetry of weakly (L,M)‐quasisymmetric maps in metric spacesThe \(L^p\) Teichmüller theory: existence and regularity of critical pointsMobile disks in hyperbolic space and minimization of conformal capacityAbsolute continuity in higher dimensionsNon-geodesic Spherical Funk Transforms with One and Two CentersQuasiregular curvesSpace quasiconformal composition operators with applications to Neumann eigenvaluesHomeomorphic extension of quasi-isometries for convex domains in \(\mathbb{C}^d\) and iteration theoryTeichmüller's theorem in higher dimensions and its applications3D Orientation-Preserving Variational Models for Accurate Image RegistrationIsometries for the modulus metric in higher dimensions are conformal mappingsF. W. Gehring: a mathematical biosketchSpace quasiconformal composition operators with applications to Neumann eigenvaluesA version of Schwarz's lemma for mappings with weighted bounded distortionA new intrinsic metric and quasiregular mapsThe symmetry principle and nondegenerate families of curves on abstract surfacesCondenser capacity and hyperbolic diameterHigher regularity and uniqueness for inner variational equationsQuasisymmetric uniformization and heat kernel estimatesFactoring the higher dimensional quasiconformal mappingsConformal capacity and polycircular domainsQuasiregular curves of small distortion in product manifoldsConformally invariant complete metrics




This page was built for publication: An Introduction to the Theory of Higher-Dimensional Quasiconformal Mappings