V. Yaskin

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math.MG2026

On hyperbolic and functional analogues of questions of GrÃ¼nbaum and Loewner

Yu Huang, Sergii Myroshnychenko, Kateryna Tatarko +1

Myroshnychenko, Tatarko, and Yaskin constructed a body $K$ in $R^{n}$ , $n \geq 5$ , with the property that there is exactly one hyperplane $H$ passing through $c (K)$ , the cen…

math.MG2024

Answers to questions of GrÃ¼nbaum and Loewner

S. Myroshnychenko, K. Tatarko, V. Yaskin

We construct a convex body $K$ in $R^{n}$ , $n \geq 5$ , with the property that there is exactly one hyperplane $H$ passing through $c (K)$ , the centroid of $K$ , such that the…