Extending Nearaffine Planes to Hyperbola Structures

Volume 55 / 2007

Kinga Cudna-Salmanowicz, Jan Jakóbowski 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.

Authors

  • Kinga Cudna-SalmanowiczFaculty of Mathematics and Informatics
    University of Warmia and Mazury in Olsztyn
    Żo/lnierska 14
    10-561 Olsztyn, Polan
    e-mail
  • Jan JakóbowskiFaculty of Mathematics and Informatics
    University of Warmia and Mazury in Olsztyn
    Żo/lnierska 14
    10-561 Olsztyn, Poland
    e-mail

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