|
|||||
|
|
The complex Busemann-Petty problem on sections of convex bodies |
|
| Authors: | A Koldobsky H König |
| Institution: | a Department of Mathematics, University of Missouri, Columbia, MO 65211, USA b Mathematisches Seminar, Christian-Albrechts-Universität Kiel, Ludewig-Meyn Str. 4, D-24098 Kiel, Germany |
| Abstract: | The complex Busemann-Petty problem asks whether origin symmetric convex bodies in Cn with smaller central hyperplane sections necessarily have smaller volume. We prove that the answer is affirmative if n?3 and negative if n?4. |
| Keywords: | Convex bodies Sections Fourier transform |
| 本文献已被 ScienceDirect 等数据库收录！ | |