$L_p$-Centroid Bodies and Its Characterizations

Authors

  • Tongyi Ma
  • Deyan Zhang

DOI:

https://doi.org/10.13447/j.1674-5647.2015.04.05

Keywords:

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

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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Published

2021-05-14

Issue

Vol. 31 No. 4 (2015)

Section

Articles