Year: 2026
Type: preprint
Abstract: The Petty conjecture asserts that the quotient \(V_n(ΠK)/V_n(K)^{n-1}\) is minimized among all convex bodies precisely by ellipsoids. In this paper, we prove the conjecture for all convex bodies of revolution in \(\mathbb R^n\), \(n\geq3\), including the equality cases.
Source: arXiv (Cornell University)
Author: Mielke-Sulz, Florian
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7213329967