Geometry of Lie Groups pp 168-218 | Cite as
Euclidean, Pseudo-Euclidean, Conformal and Pseudoconformal Geometries
Chapter
Abstract
In 0.5.3 we have defined the real Euclidean space R n as the affine space E n whose vectors satisfy axioms E.1° – 5°. Since the inner product x 2 of a vector x = x 2 e i of this space by itself is a positive definite quadratic form x 2 = e ij x i x j , this space is also called a quadratic Euclidean space. In 0.5.3 we have seen that the space R n also satisfies the axioms M.1° – 3° of a metric space.
Keywords
Great Circle Conformal Transformation Fractional Linear Transformation Steiner Triple System Real Plane
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.
Preview
Unable to display preview. Download preview PDF.
Copyright information
© Springer Science+Business Media Dordrecht 1997