-Bewegungen mit den -Automorphismen
A case of the 3-dimensional problem of Appollonius.
A characteristic property of orthogonal pencils of coaxal circles from the standpoint of conformal mapping
A Construction of a Skewaffine Structure in Laguerre Geometry
J. Andre constructed a skewaffine structure as a group space of a normally transitive group. In this paper his construction is used to describe the structure of the set of circles not passing through a point of a Laguerre plane. Sufficient conditions to ensure that this structure is a skewaffine plane are given.
A family of flat Minkowski planes admitting 3-dimensional simple groups of automorphisms.
A family of Minkowski planes over half-ordered fields.
Algebraische Geometrien
Bemerkung zu meiner Arbeit: "Ein Problem der zweidimensionalen Mikowskischen Geometrie" (Annales Polonici Mathematici 9 (1960), S. 39-48)
Bemerkungen zur -dimensionalen reellen Möbiusgeometrie.
Dieser Artikel befasst sich mit den Gründen der reellen -dimensionalen Möbiusgeometrie. Hier werden 2 Behauptungen bewiessen: 1) Die Möbiustransformationen sind die einzigen -spärentreuen Bijektionen von ; 2) Jede Möbiumstransformation ist Produkt von maximal Spiegelungen, wobei neben Spiegelungen an Hyperebenen höchsterns zwei Spiegelungen an Hypersphären benötigt werden.
Büschelhomogene Lie-Ebenen.
Büschelsätze zur Charakterisierung projektiv darstellbarer Zykelebenen.
Chain Spaces via Clifford Algebras.
Chamber systems, geometries and parabolic systems whose diagram contains only bonds of strength 1 and 2.
Charakterisierung von Kettengeometrien über semilokalen Algebren.
Clifford algebras, Möbius transformations, Vahlen matrices, and -loops
In this paper we show that well-known relationships connecting the Clifford algebra on negative euclidean space, Vahlen matrices, and Möbius transformations extend to connections with the Möbius loop or gyrogroup on the open unit ball in -dimensional euclidean space . One notable achievement is a compact, convenient formula for the Möbius loop operation , where the operations on the right are those arising from the Clifford algebra (a formula comparable to for the Möbius loop multiplication...
Conos de luz.
Using a new characterization of the Lorentz quadrics, we establish a reformulation of the Special Relativity Theory.
Criteria for two-dimensional circle planes.
Curves and lattices of points in the Minkowski plane
Démonstration du théorème fondamental relatif au pôle et à la polaire dans le cercle
Der Kreisraum einer sphärischen Möbiusebene.