Stability Theorems in Geometry and Analysis
Author:   Yu.G. Reshetnyak
Publisher:   Springer
Edition:   1994 ed.
Volume:   304
ISBN:  

9780792331186


Pages:   394
Publication Date:   30 September 1994
Format:   Hardback
Availability:   In Print   Availability explained
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Stability Theorems in Geometry and Analysis


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Overview

This monograph deals 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 should be of interest to graduate students and researchers interested in geometric function theory.

Full Product Details

Author:   Yu.G. Reshetnyak
Publisher:   Springer
Imprint:   Springer
Edition:   1994 ed.
Volume:   304
Dimensions:   Width: 15.60cm , Height: 2.30cm , Length: 23.40cm
Weight:   1.660kg
ISBN:  

9780792331186


ISBN 10:   0792331184
Pages:   394
Publication Date:   30 September 1994
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

1. 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.

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