  It is shown that for every multidimensional metric in the multiply warped
product form $\bar{M} = K\times_{f_1} M_1\times_{f_2}M_2$ with warp functions
$f_1$, $f_2$, associated to the submanifolds $M_1$, $M_2$ of dimensions $n_1$,
$n_2$ respectively, one can find the corresponding Einstein equations
$\bar{G}_{AB}=-\bar{\Lambda}\bar{g}_{AB}$, with cosmological constant
$\bar{\Lambda}$, which are reducible to the Einstein equations $G_{\alpha\beta}
= -\Lambda_1 g_{\alpha\beta}$ and $G_{ij} =-\Lambda_2 h_{ij}$ on the
submanifolds $M_1$, $M_2$, with cosmological constants ${\Lambda_1}$ and
${\Lambda_2}$, respectively, where $\bar{\Lambda}$, ${\Lambda_1}$ and
${\Lambda_2}$ are functions of ${f_1}$, ${f_2}$ and $n_1$, $n_2$.
