PreprintCC BY 4.0arXiv
A positive solution to the Lp projection centroid conjecture
Abstract
In a classical paper [21] in 2000, Lutwak-Yang-Zhang established the Lp analog of the Petty projection inequality and the Lp analog of the Busemann-Petty centroid inequality. In Section 7 of [21], Lutwak-Yang-Zhang proposed the important Lp projection centroid conjecture. We give a positive solution to the Lp projection centroid conjecture in this work.
Related
- A Complete Solution to the Conjecture on the Inverse Collatz–Sinogowitz Irregularity Problem
- AI's solution of Conjecture 9.1
- A complete solution to the Boots-Royle/Cao-Vince conjecture
- A solution to a conjecture on the norm of the Copson operator minus the Identity for monotone sequences
- A solution to Banach's isometric conjecture
BibTeX
@misc{dai2026positive,
title = {{A positive solution to the $L^p$ projection centroid conjecture}},
author = {Jin Dai and Tuo Wang},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2605.20840},
eprint = {2605.20840},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2605.20840},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - A positive solution to the L^p projection centroid conjecture
AU - Jin Dai
AU - Tuo Wang
PY - 2026
DA - 2026/09/22
PB - arXiv
DO - 10.48550/arxiv.2605.20840
UR - https://arxiv.org/abs/2605.20840
AB - In a classical paper [21] in 2000, Lutwak-Yang-Zhang established the L^p analog of the Petty projection inequality and the L^p analog of the Busemann-Petty centroid inequality. In Section 7 of [21], Lutwak-Yang-Zhang proposed the important L^p projection centroid conjecture. We give a positive solution to the L^p projection centroid conjecture in this work.
ER -