The Petty Conjecture for Convex Bodies of Revolution

Florian Mielke-Sulz

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arXiv · 2609.13517

The Petty Conjecture for Convex Bodies of Revolution

Florian Mielke-Sulz

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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.

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BibTeX RIS

Florian Mielke-Sulz. 2026-09-11. The Petty Conjecture for Convex Bodies of Revolution. https://arxiv.org/abs/2609.13517

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