Conformally Invariant Metrics and Quasiconformal Mappings. (2020)

• Record Type: Book
• Further Information: Note: Parisa Hariri, Riku Klén, Matti Vuorinen.
• Authors: Hariri, Parisa; Klén, Riku; Vuorinen, Matti
• Contents: 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.
• Publisher Details: Cham : Springer
• Publication Date: 2020
• Copyright Date: 2020
• Extent: 1 online resource (502 pages)
• Subjects: Mathematics; Potential theory (Mathematics); Differential geometry; Mathematics -- Geometry -- Differential; Differential & Riemannian geometry; Mathematics -- Vector Analysis; Stochastics
• Languages: English
• ISBNs: 9783030320683
• Related ISBNs: 9783030320676
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.