Year: 2026
Type: preprint
Abstract: We determine the sharp $L_p$ Brunn--Minkowski range for planar dual quermassintegrals on origin-symmetric convex bodies: $02$. Together with the known logarithmic and endpoint results, we obtain the complete equality classification: only positive dilates occur, except at $(p,q)=(0,2)$, where parallelograms with corresponding sides parallel also give equality.
Source: arXiv (Cornell University)
Author: Tao, Jiangyan
Institution: Zhejiang Normal University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7220913542