J. Haddad

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math.MG2025

Centroids of sections of convex bodies and Lusternik-Schnirelmann category

Julian Haddad, C. Hugo JimÃ©nez, Rafael Villa

Given two symmetric convex bodies $L \subseteq K \subseteq R^{n}$ with $L$ strictly convex, we prove that there exist at least $n$ hyperplanes $H$ tangent to $L$ , such that the cent…

math.MG2024

The lower dimensional slicing inequality for functions and related distance inequalities

J. Haddad

It was shown in [11] that for every origin-symmetric star body $K \subseteq R^{n}$ of volume $1$ , every even continuous probability density $f$ on $K$ and $1 \leq k \leq n - 1$ …