On mean curvature integrals of the outer parallel convex body of constant width

TL;DR

This paper investigates the properties of mean curvature integrals for the outer parallel convex body of constant width, providing new insights into geometric analysis of such bodies.

Contribution

It presents novel results on mean curvature integrals specifically for outer parallel convex bodies of constant width, expanding understanding in convex geometry.

Findings

Derived new formulas for mean curvature integrals of these bodies

Established relationships between width and curvature integrals

Enhanced geometric understanding of convex bodies of constant width

Abstract

In this paper, we obtain some results about the mean curvature integrals of the outer parallel convex body of constant width.