Extending Nearaffine Planes to Hyperbola Structures
Volume 55 / 2007
Bulletin Polish Acad. Sci. Math. 55 (2007), 71-80
MSC: 51A15, 51A45, 51A30, 51A35.
DOI: 10.4064/ba55-1-8
Abstract
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.
