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L_p-centroid Bodies and Its Characterizations

         

摘要

In this paper, we study the characteristic properties for Lp-centroid bodies, and an improved version of Busemann-Petty problem for Lp-centroid bodies is obtained. In addition, using the definitions of Lp-pole curvature image and Lp-affine surface area, a new proof of Busemann-Petty problem for Lp-centroid bodies is given.

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