3 problems

The conjecture on densest congruent geodesic ball packings in Thurston geometries
Densest-arrangement conjecture. The ball arrangement $\mathcal{B}_{\mathrm{opt}}(R_4,K_4)$ provides the densest congruent geodesic ball packing for the Thurston geometries.
openFrom papersball-packings thurston-geometries
0 responses
6
Existence of constant-curvature ball packings from equality of extended and ordinary Yamabe invariants
Yamabe-invariant equality conjecture. If
openFrom papersball-packings discrete-geometry yamabe-invariant
0 responses
6
Existence of constant-curvature ball packings under bounded vertex-degree variation
Constant-curvature packing conjecture. If
openFrom papersball-packings discrete-geometry yamabe-flow
0 responses
6