@Article{CMR-31-4, author = {Tongyi, Ma and Zhang, Deyan}, title = {$L_p$-Centroid Bodies and Its Characterizations}, journal = {Communications in Mathematical Research }, year = {2015}, volume = {31}, number = {4}, pages = {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.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2015.04.05}, url = {https://global-sci.com/article/81727/l-p-centroid-bodies-and-its-characterizations} }