A Construction of a Skewaffine Structure in Laguerre Geometry

Volume 54 / 2006

Andrzej Matraś Bulletin Polish Acad. Sci. Math. 54 (2006), 277-289 MSC: Primary 51B20. DOI: 10.4064/ba54-3-9

Abstract

J. Andre constructed a skewaffine structure as a group space of a normally transitive group. In this paper his construction is used to describe the structure of the set of circles not passing through a point of a Laguerre plane. Sufficient conditions to ensure that this structure is a skewaffine plane are given.

Authors

  • Andrzej MatraśDepartment of Mathematics and Informatics
    UWM Olsztyn
    Żołnierska 14
    10-561 Olsztyn, Poland
    e-mail

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