Show that the identification of $\mathcal{T}_{B}$ and $\mathcal{T}^{*}_{B}$ given by a Hessian metric induces a canonical isomorphism $X(B,K)\cong\check{X}(\check{B},\check{K})$ of Kähler manifolds, where $(\check{B},\check{K})$ is the Legendre transform of $(B,K)$.