Formules fondamentales de géométrie tricirculaire et tétrasphérique
Galilei Laguerre geometry and rational circular offset surfaces.
Horoballs in simplices and Minkowski spaces.
-measures in Minkowski planes.
Incidence structures and closure spaces
Interface and mixed boundary value problems on -dimensional polyhedral domains.
Inversions in Locally Affine Circular Spaces.
Involutorische Automorphismen von Laguerre-Ebenen mit genau zwei Fixpunkten.
Ivory's theorem in hyperbolic spaces.
Ivory's theorem in the Minkowski plane.
Jordan- and Lie geometries
In these lecture notes we report on research aiming at understanding the relation beween algebras and geometries, by focusing on the classes of Jordan algebraic and of associative structures and comparing them with Lie structures. The geometric object sought for, called a generalized projective, resp. an associative geometry, can be seen as a combination of the structure of a symmetric space, resp. of a Lie group, with the one of a projective geometry. The text is designed for readers having basic...
Kinematische Kettengebüsche und -sterne
Konstruktionen einiger endlicher modularer Inzidenzstrukturen
Kreise, Zykel, Ketten. Zur Geometrie der Algebren.
k-transitive Permutation Groups and k-planes.
Laguerresche Differentialgeometrie und Kinematik
In this paper the plane Laguerre’s geometry in the augmented plane of dual numbers is presented. Basic integral and differential invariants of -curves in the plane are deduced, i.e. the -curve arc, -curvature, -minimal curves, -circle. Furthermore the contact of -curves, -osculating circle, -evolute of a curve and some special -motions are studied from the point of view of -Differential geometry.
Locally Classical Topological Benz Planes are Classical.
Locally Projective-Planar Lattices which Satisfy the Bundle Theorem.
Minkowského množinové operace a jejich aplikace
Minkowski planes with Miquelian pairs.