The bundle form \(\mathfrak{B}1^2\) characterizes ovoidal Laguerre planes (Q1021291)
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scientific article; zbMATH DE number 5562591
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The bundle form \(\mathfrak{B}1^2\) characterizes ovoidal Laguerre planes |
scientific article; zbMATH DE number 5562591 |
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The bundle form \(\mathfrak{B}1^2\) characterizes ovoidal Laguerre planes (English)
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8 June 2009
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According to \textit{J. Kahn} [Math. Z. 175, 219--247 (1980; Zbl 0433.06013)], the full bundle theorem holds in a Laguerre plane if and only if the Laguerre plane is ovoidal. The author shows that the special form \(\mathfrak{B}1^2\) of the bundle theorem implies all other forms of the bundle theorem; thus also \(\mathfrak{B}1^2\) characterizes the ovoidal Laguerre planes.
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Laguerre plane
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bundle theorem
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