Pappus's hexagon theorem for geodesic curves in $\SLR$ geometry

Abstract

In this paper, we continue our investigation of the structure of Thurston geometries with non-constant curvature. We generalize the notion of cylinders, prove that they contain the types of geodesic curves. Moreover, we formulate and prove a statement analogous to Pappus's hexagon theorem for $\SLR$ geometry.