Volume Inequalities for Arrangements of Convex Bodies

Book Cover Volume Inequalities for Arrangements of Convex Bodies

Description

The book is centered around two major conjectures of discrete geometry: the Hadwiger-Levi conjecture (1955) and the Kneser-Poulsen conjecture (1955). Although both conjectures have been solved only in dimension two and are open in higher dimensions, they have already influenced a great deal of research in discrete geometry and surely will continue to do so. The book gives a detailed account of all major results already achieved with complete proofs and emphasizing the role of volumetric methods/inequalities. The book's main purpose is to present the relevant frontline research in discrete geometry while generating wider interest in two fundamental conjectures of discrete geometry.

Details

Author(s)
Károly Bezdek, Muhammad Ali Khan
Format
Hardback | 304 pages
Dimensions
156 x 235mm
Publication date
08 Jun 2019
Publisher
Taylor & Francis Inc
Imprint
Productivity Press
Publication City/Country
Portland, United States
Language
English
Illustrations note
50 Illustrations, black and white
ISBN10
1498743781
ISBN13
9781498743785