Translation Planes: Foundations and Construction Principles / Edition 1

by Norbert Knarr

Overview

The book discusses various construction principles for translation planes and spreads from a general and unifying point of view and relates them to the theory of kinematic spaces. The book is intended for people working in the field of incidence geometry and can be read by everyone who knows the basic facts about projective and affine planes.

The methods developed work especially well for topological spreads of real and complex vector spaces. In particular, a complete classification of all semifield spreads of finite dimensional complex vector spaces is obtained.

Product Details

ISBN-13:	9783540602088
Publisher:	Springer Berlin Heidelberg
Publication date:	10/27/1995
Series:	Lecture Notes in Mathematics , #1611
Edition description:	1995
Pages:	122
Product dimensions:	6.10(w) x 9.25(h) x 0.01(d)

Table of Contents

Foundations.- Spreads of 3-dimensional projective spaces.- Kinematic spaces.- Examples and supplements.- Locally compact 4-dimensional translation planes.- Planes of Lenz type V with complex kernel.- Locally compact translation planes of higher dimension.