A product integral representation of mixed volumes of two convex bodies

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F13%3A10144272" target="_blank" >RIV/00216208:11320/13:10144272 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1515/advgeom-2012-0044" target="_blank" >http://dx.doi.org/10.1515/advgeom-2012-0044</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1515/advgeom-2012-0044" target="_blank" >10.1515/advgeom-2012-0044</a>

Result language
angličtina
Original language name
A product integral representation of mixed volumes of two convex bodies
Original language description
The Brunn-Minkowski theory in convex geometry relies heavily on the notion of mixed volumes. Despite its particular importance, even explicit representations for the mixed volumes of two convex bodies in Euclidean space R-d are available only in specialcases. Here we investigate a new integral representation of such mixed volumes, in terms of flag measures of the involved convex sets. A brief introduction to (extended) flag measures of convex bodies is also provided.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/GCP201%2F10%2FJ039" target="_blank" >GCP201/10/J039: Curvature measures and integral geometry</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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