3 citations · 5 across the 4 of their papers we have counts for
4 papers
Quadrangular sets in projective line and in Moebius space, and geometric interpretation of the non-commutative discrete Schwarzian Kadomtsev-Petviashvili equation
Adam Doliwa, Jarosław Kosiorek
We present geometric interpretation of the discrete Schwarzian Kadomtsev-Petviashvili equation in terms of quadrangular set of points of a projective line. We give also the corresp…
A point model for the free cyclic submodules over ternions
Hans Havlicek, Boris Odehnal, Jaroslaw Kosiorek
We show that the set of all (unimodular and non-unimodular) free cyclic submodules of T^2, where T is the ring of ternions over a commutative field, admits a point model in terms o…
The symmetry axiom in Minkowski planes
Jaroslaw Kosiorek, Andrzej Matras
The aim of the paper is to give a synthetic proof that in a symmetric Minkowski plane the Benz's (G) axiom holds (without using the algebraic representation).
The symmetry axioms in Laguerre planes
Jaroslaw Kosiorek, Andrzej Matras
We introduce two axioms in Laguerre geometry and prove that they provide a characterization of miquelian planes over fields of the characteristic different from 2. They allow to de…