Year: 2015
Author: Tongyi Ma, Deyan Zhang
Communications in Mathematical Research , Vol. 31 (2015), Iss. 4 : pp. 333–344
Abstract
In this paper, we study the characteristic properties for $L_p$-centroid bodies, and an improved version of Busemann-Petty problem for $L_p$-centroid bodies is obtained. In addition, using the definitions of $L_p$-pole curvature image and $L_p$-affine surface area, a new proof of Busemann-Petty problem for $L_p$-centroid bodies is given.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.13447/j.1674-5647.2015.04.05
Communications in Mathematical Research , Vol. 31 (2015), Iss. 4 : pp. 333–344
Published online: 2015-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: convex body star body centroid body $L_p$-centroid body Busemann-Petty problem.