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Geometry VI pp 298-307 | Cite as

Space Forms

  • M. M. Postnikov
Part of the Encyclopaedia of Mathematical Sciences book series (EMS, volume 91)

Abstract

We can obtain other spaces of constant curvature from the space M K . It is clear that if one of the spaces \(\bar \chi \,or\,\chi \) in a Riemannian covering \((\bar \chi ,\,\pi ,\,\chi )\) is a Riemannian space of constant curvature K, then the other space is also a space of constant curvature K. In particular, for any group Г of isometries of the space M K with a discrete action, the quotient space M K is a space of constant curvature K.

Keywords

Symmetric Space Space Form Constant Curvature Isometry Group Riemannian Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • M. M. Postnikov
    • 1
  1. 1.MIRANMoscowRussia

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