51 citations · 58 across the 4 of their papers we have counts for
7 papers
The equi-affine curvatures of curves in 3-dimensional pseudo-Riemannian manifolds
Karina Olszak, Zbigniew Olszak
In this paper, the Cartan frames and the equi-affine curvatures are described with the help of the Frenet frames and the Frenet curvatures of a non-null and non-degenerate curve in…
The equi-affine and Frenet curvatures of curves in pseudo-Riemannian 2-manifolds
Karina Olszak, Zbigniew Olszak
For an arbitrary nondegenerate curve in a pseudo-Riemann\-ian (including Riemannian) 2-manifold, we express the equi-affine curvature with the help of the Frenet (geodesic) curvatu…
A note about the torsion of null curves in the -dimensional Minkowski spacetime and the Schwarzian derivative
Zbigniew Olszak
The main topic of this paper is to show that in the 3-dimensional Minkowski spacetime, the torsion of a null curve is equal to the Schwarzian derivative of a certain function appea…
The Schouten-van Kampen affine connection adapted to an almost (para) contact metric structure
Zbigniew Olszak
We study the Schouten-van Kampen connection associated to an almost contact or paracontact metric structure. With the help of such a connection, some classes of almost (para) conta…
On 4-dimensional, conformally flat, almost -Kählerian manifolds
Karina Olszak, Zbigniew Olszak
The local structure of 4-dimensional, conformally flat, almost -Kählerian (i.e., almost pseudo-Kählerian and almost para-Kählerian) manifolds is characterized with the help of l…
On pseudo-Riemannian manifolds with recurrent concircular curvature tensor
Karina Olszak, Zbigniew Olszak
It is proved that every concircularly recurrent manifold must be necessarily a recurrent manifold.