Stability inequalities for projections of convex bodies
Alexander Koldobsky
TL;DR
This paper establishes stability and volume difference inequalities for projections of convex bodies and applies these results to derive a hyperplane inequality related to the surface area of projection bodies.
Contribution
It introduces new stability inequalities for convex body projections and applies them to surface area inequalities for projection bodies.
Findings
Proved stability inequalities for convex body projections
Derived a hyperplane inequality for surface area of projection bodies
Enhanced understanding of geometric inequalities in convex geometry
Abstract
We prove several stability and volume difference inequalities for projections of convex bodies and apply them to prove a hyperplane inequality for surface area of projection bodies.
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Taxonomy
TopicsPoint processes and geometric inequalities · Optimization and Variational Analysis