A Family Of 2-Dimensional Minkowski Planes with Small Automorphism Groups |
| |
Authors: | GÜnter F Steinke |
| |
Institution: | 1. Department of Mathematics, University of Canterbury, Christ church, New Zealand
|
| |
Abstract: | This paper concerns 2-dimensional (topological locally compact connected) Minkowski planes. It uses a construction of J. Jakóbowski 4] of Minkowski planes over half-ordered fields and applies it to the field of reals. This generalizes a construction by A. Schenkel 7] of 2-dimensional Minkowski planes admitting a 3-dimensional kernel. It is shown that most planes in this family of Minkowski planes have 0-dimensional and even trivial automorphism groups. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|