4-dimensionale Translationsebenen mit 7-dimensionaler Kollineationsgruppe.
4-dimensionale Translationsebenen mit kommutativer Standgruppe.
A Helmholtz-Lie Type Characterization of Ellipsoids, I .
A non-Desarguesian space geometry
A Note of Affine Planes with Transitive Collineation Groups.
A relation between the numbers of singular points and singular lines of a plane closed curve.
Affine and projective generalization of Wallace lines.
Affine Hjelmslev-Ebenen mit verfeinerten Nachbarschaftsrelationen.
Affine regular icosahedron circumscribed around the affine regular octahedron in GS--quasigroup
The concept of the affine regular icosahedron and affine regular octahedron in a general GS-quasigroup will be introduced in this paper. The theorem of the unique determination of the affine regular icosahedron by means of its four vertices which satisfy certain conditions will be proved. The connection between affine regular icosahedron and affine regular octahedron in a general GS-quasigroup will be researched. The geometrical representation of the introduced concepts and relations between them...
Affininvariante Strahlreflexion an ebenen Kurven
Algebraische Geometrien
Analytický důkaz spůsobu, jakým lze sestrojiti normálu k ellipse
Angeordnete affine Ebenen als Ebenen mit einem System von Halbgeraden, und euklidische Ebenen, die genau eine Anordnung besitzen.
Ansätze für einen intervallmathematischen bzw. logisch dreiwertigen Aufbau der analytischen Geometrie
Applications Lineaires Affines Multivoques
CAPS in Z(2,n)
We consider point sets in (Z^2,n) where no three points are on a line – also called caps or arcs. For the determination of caps with maximum cardinality and complete caps with minimum cardinality we provide integer linear programming formulations and identify some values for small n.
Characterization of diffeomorphisms that are symplectomorphisms
Let and be compact symplectic manifolds (resp. symplectic manifolds) of dimension 2n > 2. Fix 0 < s < n (resp. 0 < k ≤ n) and assume that a diffeomorphism Φ : X → Y maps all 2s-dimensional symplectic submanifolds of X to symplectic submanifolds of Y (resp. all isotropic k-dimensional tori of X to isotropic tori of Y). We prove that in both cases Φ is a conformal symplectomorphism, i.e., there is a constant c ≠0 such that .
Collineation Groups Whose Order is Prime to the Characteristic.
Correction to "A Class of Rank Three Affine Planes".
Das Parallelenaxiom im affinen Raum.