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

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

Included in

Mathematics Commons

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