Quasielliptic, Quasihyperbolic, and Quasi-Euclidean Geometries
Since the Euclidean space R n and pseudo-Euclidean space R ℓ 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 ℓ 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 ℓ n* .
KeywordsSymmetric Space Stationary Distance Affine Connection Involutive Automorphism Point Apex
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