60 citations · 154 across the 30 of their papers we have counts for
Showing 2011Show all
2 papers · 1 filter
math.CA2011★ 4 cited
Non-uniqueness of convex bodies with prescribed volumes of sections and projections
Fedor Nazarov, Dmitry Ryabogin, Artem Zvavitch
We show that if is even, then one can find two essentially different convex bodies such that the volumes of their maximal sections, central sections, and projections coinc…
math.CA2011
A problem of Klee on inner section functions of convex bodies
Richard J. Gardner, Dmitri Ryabogin, Vladyslav Yaskin +1
In 1969, Vic Klee asked whether a convex body is uniquely determined (up to translation and reflection in the origin) by its inner section function, the function giving for each di…