Quasielliptic, Quasihyperbolic, and Quasi-Euclidean Geometries

  • Boris Rosenfeld
Part of the Mathematics and Its Applications book series (MAIA, volume 393)


Since the Euclidean space R n and pseudo-Euclidean space R n can be defined as the projective space P n with a distinguished hyperplane in which the absolute hyperquadrics of the spaces S n-1 or S n-1 are given, there are spaces corresponding them by the duality principle of P n . These dual spaces are called co-Euclidean, respectively copseudo-Euclidean, spaces and are denoted by R n* , respectively R n* .


Symmetric Space Stationary Distance Affine Connection Involutive Automorphism Point Apex 
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Copyright information

© Springer Science+Business Media Dordrecht 1997

Authors and Affiliations

  • Boris Rosenfeld
    • 1
  1. 1.Department of MathematicsPennsylvania State UniversityUniversity ParkUSA

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