31 citations · 126 across the 19 of their papers we have counts for
19 papers
A comprehensive analysis of the Snellius-Pothenot problem
Evgenii Nikitenko, Yurii Nikonorov, Michael Rieck
It is known that a point in three-dimensional Euclidean space whose coordinates are equal to the cosines of the angles , where the point lie…
Geodesic orbit pseudo-Riemannian H-type nilmanifolds: case of minimal admissible Clifford modules
Kenro Furutani, Irina Markina, Yurii Nikonorov
We investigate the geodesic orbit property of pseudo-Riemannian nilmanifolds, specifically those known in the literature as pseudo -type Lie groups -- i.e., 2-step nilpotent Lie…
On face angles of tetrahedra with a given base
E. V. Nikitenko, Yu. G. Nikonorov
Let us consider the set of all tetrahedra with a given non-degenerate base in and lying outside the plane . Let us denote by…
Perfect and almost perfect homogeneous polytopes
V. N. Berestovskii, Yu. G. Nikonorov
The paper is devoted to perfect and almost perfect homogeneous polytopes in Euclidean spaces. We classified perfect and almost perfect polytopes among all regular polytopes and all…
Some extremal problems for polygons in the Euclidean plane
Yu. G. Nikonorov, O. Yu. Nikonorova
The paper is devoted to some extremal problems, related to convex polygons in the Euclidean plane and their perimeters. We present a number of results that have simple formulations…
On -point homogeneous polytopes in Euclidean spaces
Valerii N. Berestovskii, Yurii G. Nikonorov
This paper is devoted to the study the -point homogeneity property and the point homogeneity degree for finite metric spaces. Since the vertex sets of regular polytopes, as well…