A Three-Dimensional Laguerre Geometry and Its Visualization
We describe and visualize the chains of the 3-dimensional chain geometry over the ring $R(ε)$, $ε^3=0$
math.AG↗
arXiv subjects
Publications and source records attributed to Klaus List.
We describe and visualize the chains of the 3-dimensional chain geometry over the ring $R(ε)$, $ε^3=0$
We show that the automorphisms of the flag space associated with a 3-dimensional projective space can be characterized as bijections preserving a certain binary relation on the set of flags in both directions. From this we derive that there are no other automorphisms of the flag space than those coming from collineations and dualities of the underlying projective space. Further, for a commutative ground field, we discuss the corresponding flag variety and characterize its group of automorphic collineations.