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Compact Tits quadrangles as Lie geometries of topological Laguerre spaces
-
Marian Margraf
and
Nils Rosehr
Published/Copyright:
June 18, 2007
Abstract
We prove that the Lie geometry of a locally compact connected Laguerre space forms a compact connected generalized quadrangle. Moreover, if the geometric dimension of such a Laguerre space is at least three, this generalized quadrangle is isomorphic to a generalized quadrangle of Tits type; all compact connected generalized quadrangles of Tits type arise from Laguerre spaces.
Key words: Topological generalized quadrangle; quadrangle of Tits type; topological Laguerre space; Lie geometry
Received: 2006-03-22
Published Online: 2007-06-18
Published in Print: 2007-04-19
© Walter de Gruyter
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Keywords for this article
Topological generalized quadrangle;
quadrangle of Tits type;
topological Laguerre space;
Lie geometry
Articles in the same Issue
- The Poncelet grid
- On hyperbolic Coxeter n-polytopes with n + 2 facets
- Dense near octagons with four points on each line, II
- On the Hermitian curvature of symplectic manifolds
- Surjectivity of Gaussian maps for curves on Enriques surfaces
- Compact Tits quadrangles as Lie geometries of topological Laguerre spaces
- On the roots of the Steiner polynomial of a 3-dimensional convex body
- Circular surfaces
- Addendum to “Classification of generalized polarized manifolds by their nef values”
