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Stability theorems in geometry and analysis (Mathematics and its applications 304), Softcover reprint of hardcover 1st ed. 1994 Mathematics and Its Applications Series, Vol. 304

Langue : Anglais

Auteur :

Couverture de l’ouvrage Stability theorems in geometry and analysis (Mathematics and its applications 304)
Introduction. Möbius transformations. Integral representations and estimates for differentiable functions. Stability in Liouville's theorem on conformal mappings in space. Stability of isometric transformations of the space Rn. Stability in Darboux's theorem. Differential properties of mapping with bounded distortion and conformal mappings of Riemannian spaces.
Foreword to the English Translation. Preface to the First Russian Edition. 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 Rn. 6. Stability in Darboux's Theorem. 7. Differential Properties of Mappings with Bounded Distortion and Conformal Mappings of Riemannian Spaces. References. Subject Index.
This monograph deals with the metric theory of spatial mappings and incorporates results in the theory of quasi-conformal, quasi-isomeric 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. Results obtained by others researching similar topics are mentioned, and a survey is given of publications treating relevant questions or involving the technique proposed.Introduction. Möbius transformations. Integral representations and estimates for differentiable functions. Stability in Liouville's theorem on conformal mappings in space. Stability of isometric transformations of the space Rn. Stability in Darboux's theorem. Differential

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