2 papers
math.MG2025
Linear programming bounds in homogeneous spaces, I: Optimal packing density
Maximilian Wackenhuth
In this article we obtain linear programming bounds for the maximal sphere packing density of commutative spaces. A special case of our results solves a conjecture by Cohn and Zhao…
math.MG2024
Bounds on hyperbolic sphere packings: On a conjecture by Cohn and Zhao
Maximilian Wackenhuth
We prove sphere packing density bounds in hyperbolic space (and more generally irreducible symmetric spaces of noncompact type), which were conjectured by Cohn and Zhao and general…