Yu. G. Nikonorov

collaborators

3 papers

math.MG2026

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 $∠ B D C, ∠ A D C, ∠ A D B$ , where the point $D$ lie…

math.DG2026

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 $H$ -type Lie groups -- i.e., 2-step nilpotent Lie…

math.MG2026

On face angles of tetrahedra with a given base

E. V. Nikitenko, Yu. G. Nikonorov

Let us consider the set $I^c ◯ (△ A B C)$ of all tetrahedra $A B C D$ with a given non-degenerate base $A B C$ in $E^{3}$ and $D$ lying outside the plane $A B C$ . Let us denote b…