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Multidimensional Generalized Riemannian Spaces

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Geometry IV

Part of the book series: Encyclopaedia of Mathematical Sciences ((EMS,volume 70))

Abstract

A Riemannian space is usually understood as a space such that in small domains of it Euclidean geometry holds approximately, to within infinitesimals of higher order in comparison with the dimensions of the domain.

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Authors
  1. V. N. Berestovskij
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  2. I. G. Nikolaev
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Editor information

Editors and Affiliations

  1. Institute of Mathematics, Siberian Branch of the Russian, Academy of Sciences, Universitetskij pr. 4, 630090, Novosibirsk, Russia

    Yu. G. Reshetnyak

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© 1993 Springer-Verlag Berlin Heidelberg

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Berestovskij, V.N., Nikolaev, I.G. (1993). Multidimensional Generalized Riemannian Spaces. In: Reshetnyak, Y.G. (eds) Geometry IV. Encyclopaedia of Mathematical Sciences, vol 70. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-02897-1_2

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  • DOI: https://doi.org/10.1007/978-3-662-02897-1_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-08125-5

  • Online ISBN: 978-3-662-02897-1

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