Conformally Invariant Metrics and Quasiconformal Mappings, 1st ed. 2020 Springer Monographs in Mathematics Series
Auteurs : Hariri Parisa, Klén Riku, Vuorinen Matti
Part I: Introduction and Review.- Introduction.- A Survey of QuasiregularMappings.- Part II: Conformal Geometry.- Möbius Transformations.- Hyperbolic Geometry.- Generalized Hyperbolic Geometries.- Metrics and Geometry.- Part III: Modulus and Capacity.- The Modulus of a Curve Family.- The Modulus as a Set Function.- The Capacity of a Condenser.- Conformal Invariants.- Part IV: Intrinsic Geometry.- Hyperbolic Type Metrics.- Comparison of Metrics.- Local Convexity of Balls.- Inclusion Results for Balls.- Part V: QuasiregularMappings.- Basic Properties of QuasiregularMappings.- Distortion Theory.- Dimension-Free Theory.- Metrics and Maps.- Teichmüller’s Displacement Problem.- Part VI: Solutions.- Solutions to Exercises.
Brings under one roof results previously scattered in many research papers published during the past 50 years since the origin of the three-dimensional theory of quasiconformal and quasiregular mappings
Contains an extensive set of exercises, including solutions
Can be used as learning material/collateral reading for several courses
Date de parution : 08-2021
Ouvrage de 502 p.
15.5x23.5 cm
Date de parution : 04-2020
Ouvrage de 502 p.
15.5x23.5 cm