Year: 2026
Type: preprint
Abstract: By studying the classical Minkowski's inequality, $4πA\leq M^{2}$, relating area and mean curvature, in the particular case of convex surfaces of revolution, one is led to a functional inequality that holds for general functions. We state and prove this inequality obtaining a new proof of Minkowski's inequality in this particular case and we establish a sharp inequality between the Minkowski deficit of the surface and the isoperimetric deficit of any meridian curve.
Source: arXiv (Cornell University)
Authors: Bruna, Joaquim, Cufí, Julià, Reventós, Agustí
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7213393349