Classical geometries in modern contexts : Geometry of real inner product spaces

Classical geometries in modern contexts : Geometry of real inner product spaces

Author
Walter Benz
Publication Year
2007
Publisher
Springer
Language
English
Document Type
Book
Faculty / Subject Heading
Mathematics and Statistics

This book is based on real inner product spaces X of arbitrary (finite or infinite) dimension greater than or equal to 2. With natural properties of (general) translations and general distances of X, euclidean and hyperbolic geometries are characterized.


Keywords: Mathematics and Statistics / Classical geometry / Finite / Hyperbolic geometry / Inner product space / Lie / Lorentz transformation / Natural / Sphere geometry / Algebra / Boundary element method / Character / Form / Geometry / Theorem / Transformation