The complex Busemann-Petty problem on sections of convex bodies
Koldobsky, A. · König, H. · Zymonopoulou, M.
Original · EN
The complex Busemann-Petty problem asks whether origin symmetric convex bodies in ⁿ with smaller central hyperplane sections necessarily have smaller volume. We prove that the answer is affirmative if n≤ 3 and negative if n≥ 4.
English translation
This paper has no Arabic translation yet. Be the first: it takes a few seconds, and the result is stored for every future reader.