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

Classical Geometries in Modern Contexts:

Classical Geometries in Modern Contexts: Geometry of Real Inner Product Spaces

✍ Walter Benz 📂 Library 📅 2005 🏛 Birkhäuser Basel 🌐 English ⚖ 1 MB

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. For these spaces X also the sphere geometries

Classical Geometries in Modern Contexts:

Classical Geometries in Modern Contexts: Geometry of Real Inner Product Spaces

✍ Walter Benz 📂 Library 📅 2007 🌐 English ⚖ 2 MB

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. For these spaces X also the sphere geometries

On Lorentz-Minkowski geometry in real in

On Lorentz-Minkowski geometry in real inner product spaces

✍ Benz, Walter 📂 Article 📅 2003 🏛 Walter de Gruyter GmbH & Co. KG 🌐 English ⚖ 960 KB

On Lorentz-Minkowski geometry in real in

On Lorentz-Minkowski geometry in real inner product spaces

✍ Benz, Walter 📂 Article 📅 2003 🏛 Walter de Gruyter GmbH & Co. KG 🌐 English ⚖ 960 KB

## Dedicated to Adriano Barlotti on the occasion of his 80th birthday, in friendship Let A" be a real inner product space of finite or infinite dimension ^2, and let ρ φ Ο be a fixed real number. The following results will be presented in this note. A. A surjective mapping σ : X -» X preserving Lo

Metric and Periodic Lines in Real Inner

Metric and Periodic Lines in Real Inner Product Space Geometries

✍ Walter Benz 📂 Article 📅 2004 🏛 Springer Vienna 🌐 English ⚖ 208 KB

Möbius sphere geometry in inner product

Möbius sphere geometry in inner product spaces

✍ Walter Benz 📂 Article 📅 2003 🏛 Springer 🌐 English ⚖ 357 KB