Convexity conjecture for illumination bodies in nonpositive-curvature space forms
Let n≥3n\geq 3n≥3, let λ≤0\lambda\leq 0λ≤0, and let K∈K0(Spn(λ))K\in\mathcal{K}_0(\mathrm{Sp}^n(\lambda))K∈K0(Spn(λ)) be a convex body. Illumination-body convexity conjecture. For every δ>0\delta>0δ>0, the illumina…