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Local Theory of Bendings of Surfacesстатья
- Автор: Sabitov I.Kh
- Сборник: Geometry III (Eds. Y.D.Burago et al.)
- Серия: Encyclopaedia of Mathematical Sciences
- Том: 48
- Год издания: 1992
- Место издания: Springer Berlin Heidelberg Berlin
- Первая страница: 179
- Последняя страница: 250
- DOI: 10.1007/978-3-662-02751-6_3
- Аннотация: The origin of the theory of bendings as one of the basic problems of metrical geometry is associated with the names of Euler, Lagrange, Legendre, Cauchy and Gauss. After it was discovered that on surfaces there is an “intrinsic geometry” that does not depend on the external form of the surface, there naturally arose the question of the possibility of deforming the surface, preserving its intrinsic geometry. Consideration of isometric immersions (or, as we say, realizations) of abstractly given Riemannian metrics also leads to the problem of bendings of surfaces as to some problem about the uniqueness or non-uniqueness of an immersion.
- Добавил в систему: Родионов Тимофей Викторович