11 citations · 17 across the 4 of their papers we have counts for
4 papers
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…
One property of a planar curve whose convex hull covers a given convex figure
Yu. G. Nikonorov, Yu. V. Nikonorova
In this note, we prove the following conjecture by A. Akopyan and V. Vysotsky: If the convex hull of a planar curve covers a planar convex figure , then $\operatorname{lengt…
Generalized Popoviciu's problem
Yu. G. Nikonorov, Yu. V. Nikonorova
This is an English translation of the following paper, published several years ago: Nikonorov Yu.G., Nikonorova Yu.V. Generalized Popoviciu's problem (Russian), Tr. Rubtsovsk. Ind.…
Invariant Einstein metrics on Ledger-Obata spaces
Zhiqi Chen, Yuriĭ Nikonorov, Yulia Nikonorova
In this paper, we study invariant Einstein metrics on Ledger-Obata spaces . In particular, we classify invariant Einstein metrics on $F^4/\operatorname{…