collaborators

4 papers

math.MG2026

Higher-order Godbersen inequality and a characterization of simplices via the face lattice

Filip Fryš, Jan Kotrbatý, Mohamed A. Mouamine +1

We settle the long-standing Godbersen conjecture that the mixed volume of a convex body of fixed positive volume with its reflection about the origin is maximized precisely by simp…

math.MG2026

Around higher-order Godbersen conjectures

Filip Fryš, Jan Kotrbatý

We consider two higher-order generalizations of the Godbersen conjecture for mixed volumes of convex bodies, which were first proposed by Schneider in 2000. First, we establish the…

math.CA2026

Anisotropic Minkowski Content for Countably -rectifiable Sets

Filip Fryš

We study anisotropic Minkowski content for lower-dimensional rectifiable sets. First, we prove that, for every convex body \(C\subseteq\mathbb R^n\), the \(k\)-dimensional \(C\)-an…

math.CA2025

Anisotropic lower-dimensional Minkowski content and -content

Filip Fryš

This paper investigates the lower-dimensional anisotropic Minkowski content and -content. We establish that these anisotropic contents exhibit properties analogous to…