3 papers
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…