6533b82afe1ef96bd128b5cd

RESEARCH PRODUCT

On Barbilian spaces in projective lattice geometries

Marcus GreferathStefan E. Schmidt

subject

Pure mathematicsLattice (module)Differential geometryHigh Energy Physics::LatticeComplex projective spaceHyperbolic geometryProjective spaceGeometryGeometry and TopologySpace (mathematics)Quaternionic projective spaceProjective geometryMathematics

description

We introduce the notion of a Barbilian space of a projective lattice geometry in order to investigate the relationship between lattice-geometric properties and the properties of point-hyperplane structures associated with. We obtain a characterization of those projective lattice geometries, the Barbilian space of which is a Veldkamp space.

https://doi.org/10.1007/bf00151523