On the Newton Polygon.
On the Non-Euclidian Geometry
On the planarity of the equilateral, isogonal pentagon.
On the plane geometry with generalized absolute value metric.
On the regular polygons in the Chinese checker plane.
On the Representation and Multiplication of Basic Alternating Cycle Matrices
On the sectional irregularity of congruences.
On the Tetrahedroid as a particular case of the 16-nodal quartic surface.
On the volume of a symmetric tetrahedron in hyperbolic and spherical spaces.
On the volume of hyperbolic polyhedra.
On the volume of unbounded polyhedra in the hyperbolic space.
On the volumes of hyperbolic 5-orthoschemes and the Trilogarithm.
On universal groups and three-manifolds.
On volumes of arithmetic quotients of
We apply G. Prasad’s volume formula for the arithmetic quotients of semi-simple groups and Bruhat-Tits theory to study the covolumes of arithmetic subgroups of . As a result we prove that for any even dimension there exists a unique compact arithmetic hyperbolic -orbifold of the smallest volume. We give a formula for the Euler-Poincaré characteristic of the orbifolds and present an explicit description of their fundamental groups as the stabilizers of certain lattices in quadratic spaces. We...
On -distance in -dimensional space.
Optimierung konstant belegter Ovale und ein Hyperbel-Schnittsatz