Federal State Budgetary Institution of Science Federal Scientific Center "Vladikavkaz Scientific Center of the Russian Academy of Sciences"

output

20102026

most citedClassification of generalized Wallach spaces

31 citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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5 papers · 1 filter

math.MG2025

On face angles of tetrahedra with a given base

E. V. Nikitenko, Yu. G. Nikonorov

Let us consider the set $Ω (△ A B C)$ 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 by…

math.MG2023

The extreme polygons for the self Chebyshev radius of the boundary

Evgenii V. Nikitenko, Yurii G. Nikonorov

The paper is devoted to some extremal problems for convex polygons on the Euclidean plane, related to the concept of self Chebyshev radius for the polygon boundary. We consider a g…

math.MG2022★ 2 cited

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…

math.MG2021★ 2 cited

Properties of a curve whose convex hull covers a given convex body

Yurii Nikonorov

In this note, we prove the following inequality for the norm of a convex body $K$ in $R^{n}$ , $n \geq 2$ : $N(K) \leq \frac{π^{\frac{n-1}{2}}}{2 Γ\left(\frac{n+1}{2}\right)}\c…

math.MG2020★ 5 cited

Extreme problems for convex curves with given relative Chebyshev radius

Vitor Balestro, Horst Martini, Yurii Nikonorov +1

The paper is devoted to some extremal problems for convex curves and polygons in the Euclidean plane referring to the relative Chebyshev radius. In particular, we determine the rel…