Higher-dimensional Monge–Ampère decomposition conjecture
Higher-dimensional decomposition conjecture. For every D∈Cm,γ(ωˉ,Rsymd×d)D\in\mathcal{C}^{m,\gamma}(\bar\omega,\mathbb{R}^{d\times d}_{\mathrm{sym}})D∈Cm,γ(ωˉ,Rsymd×d),