arXiv subjects

Yulia Nikonorova

Publications and source records attributed to Yulia Nikonorova.

2 recordsLinked to original sources

arXiv2020

Extreme problems for convex curves with given relative Chebyshev radius

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 relative Chebyshev radius for an arbitrary triangle. Moreover, we derive the maximal possible perimeter for convex curves and convex n-gons of a given relative Chebyshev radius.

math.MG↗

arXiv2016

Invariant Einstein metrics on Ledger-Obata spaces

In this paper, we study invariant Einstein metrics on Ledger-Obata spaces $F^m/\operatorname{diag}(F)$. In particular, we classify invariant Einstein metrics on $F^4/\operatorname{diag}(F)$ and estimate the number of invariant Einstein metrics on general Ledger-Obata spaces $F^{m}/\operatorname{diag}(F)$.

math.DG↗