Polaritäten Ebener projektiver Ebenen |
| |
Authors: | Thomas Bedürftig |
| |
Affiliation: | (1) Mathematisches Institut, Universität Tübingen, Hölderlinstrae 19, 7400 Tübingen 1 |
| |
Abstract: | A projective plane is called flat if the spaces of points and lines are locally compact and 2-dimensional and the joining of points and the intersecting of lines are continuous. H. Salzmann studied planes of this type in [11]–[21]. Here polarities of such planes are considered. In II general properties of polarities of flat planes are discussed. For example, a polarity with absolute points has always an oval of absolute points. A flat projective plane with a cartesian ternary field K admits a polarity iff multiplication in K is commutative. In III the polarities of flat projective planes with a 3-dimensional collineation group are determined. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|