K. Tatarko

activity

20182026

most citedReverse isoperimetric problems under curvature constraints

1 citations · 1 across the 10 of their papers we have counts for

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2 papers · 1 filter

math.MG2022

How far apart can the projection of the centroid of a convex body and the centroid of its projection be?

Sergii Myroshnychenko, Kateryna Tatarko, Vladyslav Yaskin

We show that there is a constant $D \approx 0.2016$ such that for every $n$ , every convex body $K \subset R^{n}$ , and every hyperplane $H \subset R^{n}$ , the distance bet…

math.MG2022

Curvature functionals on convex bodies

Kateryna Tatarko, Elisabeth M. Werner

We investigate the weighted $L_{p}$ affine surface areas which appear in the recently established $L_{p}$ Steiner formula of the $L_{p}$ Brunn Minkowski theory. We show that they are val…