Geometry IV Non-Regular Riemannian Geometry

Name: Geometry IV Non-Regular Riemannian Geometry
Availability: OutOfStock
ISBN: 9783540547013

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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Description:

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…

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