Euclidean Affine Spaces

  • Marcel Berger
  • Pierre Pansu
  • Jean-Pic Berry
  • Xavier Saint-Raymond
Part of the Problem Books in Mathematics book series (PBM)

Abstract

We consider a real affine space X of finite dimension (which is always denoted by n), and whose underlying vector subspace \(\vec X\) (see 2.A) is endowed with a Euclidean structure; we say that X is a Euclidean affine space. The standard example is R n , considered as an affine space.

Keywords

Euclidean Plane Affine Space Projective Completion Oriented Line Screw Motion 
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

© Marcel Berger 1984

Authors and Affiliations

  • Marcel Berger
    • 1
  • Pierre Pansu
    • 2
  • Jean-Pic Berry
    • 3
  • Xavier Saint-Raymond
    • 3
  1. 1.U.E.R. de Mathematique et InformatiqueUniversité Paris VIIParis, Cedex 05France
  2. 2.Centre National de la Recherche ScientifiqueParisFrance
  3. 3.P.U.K.GrenobleFrance

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