Stability and separation in volume comparison problems
Alexander Koldobsky
TL;DR
This paper reviews recent advances in stability and separation in volume comparison problems and applies these results to establish new hyper-plane inequalities for intersection and projection bodies.
Contribution
It introduces new hyper-plane inequalities for intersection and projection bodies based on recent stability and separation results.
Findings
New hyper-plane inequalities for intersection bodies
New hyper-plane inequalities for projection bodies
Enhanced understanding of volume comparison stability
Abstract
We review recent stability and separation results in volume comparison problems and use them to prove several hyper- plane inequalities for intersection and projection bodies.
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Taxonomy
TopicsPoint processes and geometric inequalities · Optimization and Variational Analysis · Computational Geometry and Mesh Generation