There are three kinds of Benz planes: Möbius planes, Laguerre planes and Minkowski planes. A Minkowski plane satisfying an additional axiom is connected with some other structure called a nearaffine plane. We construct an analogous structure for a Laguerre plane. Moreover, our description is common for both cases.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ba53-1-8, author = {Jan Jak\'obowski}, title = {Some Generalization of Nearaffine Planes}, journal = {Bulletin of the Polish Academy of Sciences. Mathematics}, volume = {53}, year = {2005}, pages = {87-97}, zbl = {1107.51003}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba53-1-8} }
Jan Jakóbowski. Some Generalization of Nearaffine Planes. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 53 (2005) pp. 87-97. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba53-1-8/