TY - JOUR
T1 - $L_p$-Centroid Bodies and Its Characterizations
AU - Ma , Tongyi
AU - Zhang , Deyan
JO - Communications in Mathematical Research 
VL - 4
SP - 333
EP - 344
PY - 2021
DA - 2021/05
SN - 31
DO - http://doi.org/10.13447/j.1674-5647.2015.04.05
UR - https://global-sci.org/intro/article_detail/cmr/18914.html
KW - convex body, star body, centroid body, $L_p$-centroid body, Busemann-Petty problem.
AB - <p style="text-align: justify;">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.</p>