3 papers
math.MG2026
Equilibria in non-Euclidean geometries
Z. Lángi, S. Wang
In this paper, extending the work of Gal'perin (Comm. Math. Phys. 154: 63-84, 1993), we investigate generalizations of the concepts of centroids and static equilibrium points of a…
math.MG2025
Variants of a theorem of Macbeath in finite dimensional normed spaces
Z. Lángi, S. Wang
A classical theorem of Macbeath states that for any integers , , -dimensional Euclidean balls are hardest to approximate, in terms of volume difference, by…
math.MG2025
The Honeycomb Conjecture in normed planes and an alpha-convex variant of a theorem of Dowker
Zsolt Lángi, Shanshan Wang
The Honeycomb Conjecture states that among tilings with unit area cells in the Euclidean plane, the average perimeter of a cell is minimal for a regular hexagonal tiling. This conj…