A positive solution to the $L^p$ projection centroid conjecture
Metric Geometry
2026-05-21 v1
Abstract
In a classical paper [20] in 2000, Lutwak-Yang-Zhang established the analog of the Petty projection inequality and the analog of the Busemann-Petty centroid inequality. In Section 7 of [20], Lutwak-Yang-Zhang proposed the important projection centroid conjecture. We give a positive solution to the projection centroid conjecture in this work.
Cite
@article{arxiv.2605.20840,
title = {A positive solution to the $L^p$ projection centroid conjecture},
author = {Jin Dai and Tuo Wang},
journal= {arXiv preprint arXiv:2605.20840},
year = {2026}
}