Translation Planes: Foundations and Construction Principles

Norbert Knarr examines the construction of translation planes and spreads from a general viewpoint that brings several building methods under one framework. The discussion ties these methods to the theory of kinematic spaces, which gives the material a unified structure.

The book is aimed at people working in incidence geometry. A reader needs only the basic facts about projective and affine planes to follow the argument. The methods are shown to be particularly effective for topological spreads built on real and complex vector spaces, a setting that will interest those who study such spaces.

For mathematicians working in this field, it is a focused treatment of one corner of geometry. Published by Springer. ISBN-13: 9783540602088.