Mathematical analysis demonstrates dimension-free stability for Webb’s simplex slicing inequality in convex bodies, highlighting universal geometric regularity across high dimensions.
We establish dimension-free stability of Webb’s sharp simplex slicing (1996). Incidentally, we show the Lipschitzness of volume of central sections of arbitrary (not necessarily symmetric) convex bodies.
No takes yet. Share an insight, caveat, or question.
Myroshnychenko et al. (2025) studied this question.