8 citations · 11 across the 4 of their papers we have counts for
4 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…
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.