A family of flat Minkowski planes admitting 3-dimensional simple groups of automorphisms.
Using a new characterization of the Lorentz quadrics, we establish a reformulation of the Special Relativity Theory.
H. A. Wilbrink [Geom. Dedicata 12 (1982)] considered a class of Minkowski planes whose restrictions, called residual planes, are nearaffine planes. Our study goes in the opposite direction: what conditions on a nearaffine plane are necessary and sufficient to get an extension which is a hyperbola structure.