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Flat Laguerre planes of Kleinewillinghöfer type III.B
-
Jeroen Schillewaert
and
Günter F. Steinke
Published/Copyright:
August 28, 2011
Abstract
Kleinewillinghöfer classified Laguerre planes with respect to central automorphisms. Polster and Steinke investigated flat Laguerre planes and their so-called Kleinewillinghöfer types, that is, the Kleinewillinghöfer types with respect to the full automorphism group. For some of these types the existence question remained open. We provide strong necessary existence conditions for flat Laguerre planes of Kleinewillinghöfer type III.B and provide examples of such planes of types III.B.1 and III.B.3.
Received: 2009-10-02
Revised: 2010-02-08
Published Online: 2011-08-28
Published in Print: 2011-November
© de Gruyter 2011
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Articles in the same Issue
- Quasigeodesics and farthest points on convex surfaces
- The geometry of canal surfaces and the length of curves in de Sitter space
- On the mutual position of two irreducible conics in PG(2, q), q odd
- On the symmetric average of a convex body
- Ample vector bundles and polarized manifolds of sectional genus three
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- Quotients of hypersurfaces in weighted projective space
- Characterizing the mixed volume
- Uniqueness of lattice packings and coverings of extreme density
- On the classification of convex lattice polytopes
- Blichfeldt-type inequalities and central symmetry
- Valuations on function spaces
