G. Horváth, Ákos and Lángi, Zsolt (2014) On the volume of the convex hull of two convex bodies. Monatshefte für Mathematik, 174. pp. 219229.

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Abstract
In this note we examine the volume of the convex hull of two congruent copies of a convex body in Euclidean $n$space, under some subsets of the isometry group of the space. We prove inequalities for this volume if the two bodies are translates, or reflected copies of each other about a common point or a hyperplane containing it. In particular, we give a proof of a related conjecture of Rogers and Shephard.
Item Type:  Article 

Subjects:  Q Science / természettudomány > QA Mathematics / matematika > QA73 Geometry / geometria 
Depositing User:  Dr. Zsolt Lángi 
Date Deposited:  24 Sep 2014 20:30 
Last Modified:  24 Sep 2014 20:30 
URI:  http://real.mtak.hu/id/eprint/16580 
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