2 citations · 3 across the 3 of their papers we have counts for
3 papers
math.FA2008★ 1 cited
A note on the Busemann-Petty problem for bodies of certain invariance
Marisa Zymonopoulou
The Busemann-Petty problem asks whether origin symmetric convex bodies in with smaller hyperplane sections necessarily have smaller volume. The answer is affirmative if $n\l…
math.FA2008
The complex Busemann-Petty problem for arbitrary measures
Marisa Zymonopoulou
The complex Busemann-Petty problem asks whether origin symmetric convex bodies in C^n with smaller central hyperplane sections necessarily have smaller volume. The answer is affirm…
math.FA2008★ 2 cited
The modified complex Busemann-Petty problem on sections of convex bodies
Marisa Zymonopoulou
Since the answer to the complex Busemann-Petty problem is negative in most dimensions, it is natural to ask what conditions on the (n-1)-dimensional volumes of the central sections…