Maryna Yaskina

most citedCentroids and comparison of volumes

1 citations · 1 across the 4 of their papers we have counts for

collaborators

4 papers

math.FA2005

Non-intersection bodies all of whose central sections are intersection bodies

M. Yaskina

We construct symmetric convex bodies that are not intersection bodies, but all of their central hyperplane sections are intersection bodies. This result extends the studies by Weil…

math.FA2005★ 1 cited

Centroids and comparison of volumes

V. Yaskin, M. Yaskina

For $- 1 < p < 1$ we introduce the concept of a polar $p$ -centroid body $Γ_{p}^{*} K$ of a star body $K$ . We consider the question of whether $Γ_{p}^{*} K \subset Γ_{p}^{*} L$ implies $\mathrm…

math.FA2004

The geometry of $L_{0}$

N. J. Kalton, A. Koldobsky, V. Yaskin +1

Suppose that we have the unit Euclidean ball in $R^{n}$ and construct new bodies using three operations - linear transformations, closure in the radial metric and multiplicative sum…

math.FA2004

Modified Busemann-Petty problem on sections of convex bodies

A. Koldobsky, V. Yaskin, M. Yaskina

The Busemann-Petty problem asks whether origin-symmetric convex bodies in $R^{n}$ with smaller central hyperplane sections necessarily have smaller $n$ -dimensional volume. I…

Non-intersection bodies all of whose central sections are intersection bodies

Centroids and comparison of volumes

The geometry of L0​

Modified Busemann-Petty problem on sections of convex bodies

The geometry of $L_{0}$