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Geometry IV Non-Regular Riemannian Geometry

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ISBN-10: 3540547010

ISBN-13: 9783540547013

Edition: 1993

Authors: Yu. G. Reshetnyak, E. Primrose, V. N. Berestovskij, I. G. Nikolaev

List price: $109.99
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This volume of the Encyclopaedia contains two articles, which give a survey of modern research into non-regular Riemannian geometry, carried out mostly by Russian mathematicians. The first article written by Reshetnyak is devoted to the theory of two-dimensional Riemannian manifolds of bounded curvature. Concepts of Riemannian geometry, such as the area andintegral curvature of a set, and the length and integral curvature of a curve are also defined for these manifolds. Some fundamental results of Riemannian goemetry like the Gauss-Bonnet formula are true in the more general case considered in the book. The second article by Berestovskij and Nikolaev is devoted to the theory of metric…    
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Book details

List price: $109.99
Copyright year: 1993
Publisher: Springer Berlin / Heidelberg
Publication date: 10/21/1993
Binding: Hardcover
Pages: 252
Size: 6.10" wide x 9.25" long
Weight: 2.662

Two-Dimensional Manifolds of Bounded Curvature
Multidimensional Generalized Riemannian Spaces