Title
On the Busemann-Petty Problem Concerning Central Sections of Centrally Symmetric Convex-Bodies
Document Type
Article
Publication Date
4-1994
Keywords
Busemann-Petty problem, convex body, star body, section, intersection body, spherical Radon transform, Schwarz symmetral, geometric tomography
Abstract
We present a method which shows that in E3 the Busemann-Petty problem, concerning central sections of centrally symmetric convex bodies, has a positive answer. Together with other results, this settles the problem in each dimension.
Publication Title
Bulletin of the American Mathematical Society
Volume
30
Issue
2
First Page
222
Last Page
226
Required Publisher's Statement
First published in The Bulletin of the American Mathematical Society in Volume 30, Number 2, April 1994, published by the American Mathematical Society
Recommended Citation
Gardner, Richard J., "On the Busemann-Petty Problem Concerning Central Sections of Centrally Symmetric Convex-Bodies" (1994). Mathematics Faculty Publications. 19.
https://cedar.wwu.edu/math_facpubs/19
Subjects - Topical (LCSH)
Convex bodies; Variable star; Geometric tomography
Genre/Form
articles
Type
Text
Rights
Copying of this document in whole or in part is allowable only for scholarly purposes. It is understood, however, that any copying or publication of this document for commercial purposes, or for financial gain, shall not be allowed without the author’s written permission.
Language
English
Format
application/pdf
