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OverviewThis is one of the first monographs to deal with the metric theory of spatial mappings and incorporates results in the theory of quasi-conformal, quasi-isometric and other mappings. The main subject is the study of the stability problem in Liouville's theorem on conformal mappings in space, which is representative of a number of problems on stability for transformation classes. To enable this investigation a wide range of mathematical tools has been developed which incorporate the calculus of variation, estimates for differential operators like Korn inequalities, properties of functions with bounded mean oscillation, etc. Results obtained by others researching similar topics are mentioned, and a survey is given of publications treating relevant questions or involving the technique proposed. This volume will be of great value to graduate students and researchers interested in geometric function theory. Full Product DetailsAuthor: Yu.G. ReshetnyakPublisher: Springer Imprint: Springer Edition: Softcover reprint of hardcover 1st ed. 1994 Volume: 304 Dimensions: Width: 16.00cm , Height: 2.10cm , Length: 24.00cm Weight: 0.706kg ISBN: 9789048144679ISBN 10: 9048144671 Pages: 394 Publication Date: 15 December 2010 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of Contents1. Introduction.- 2. Möbius Transformations.- 3. Integral Representations and Estimates for Differentiable Functions.- 4. Stability in Liouville’s Theorem on Conformal Mappings in Space.- 5. Stability of Isometric Transformations of the Space ?n.- 6. Stability in Darboux’s Theorem.- 7. Differential Properties of Mappings with Bounded Distortion and Conformal Mappings of Riemannian Spaces.- References.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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