A generalization of a theorem by Calabi to the parabolic Monge-Ampere equation Cristian GutierrezQingbo Huang We prove that if the function $u = u(x,t)$, convex in $x$ and nonincreasing in $t$, has time derivative bounded away from $0$ and $-\infty$, and is a solution of the parabolic Monge-Amp\`ere equation $-u_t\ \text{det}\;D_x^2 u = 1$ in $\mathbb{R}^n \times (-\infty,0]$, then $u$ must be of the form of a convex quadratic polynomial in $x$ plus a linear function of $t$. Indiana University Mathematics Journal 1998 text pdf 10.1512/iumj.1998.47.1563 10.1512/iumj.1998.47.1563 en Indiana Univ. Math. J. 47 (1998) 1459 - 1480 state-of-the-art mathematics http://iumj.org/access/