$L_p$-Centroid Bodies and Its Characterizations

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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.

Keywords:

convex body star body centroid body $L_p$-centroid body Busemann-Petty problem.
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DOI

10.13447/j.1674-5647.2015.04.05

How to Cite

$L_p$-Centroid Bodies and Its Characterizations. (2021). Communications in Mathematical Research, 31(4), 333-344. https://doi.org/10.13447/j.1674-5647.2015.04.05