  The warped product $N_1\times_f N_2$ of two Riemannian manifolds $(N_1,g_1)$
and $(N_2,g_2)$ is the product manifold $N_1\times N_2$ equipped with the
warped product metric $g=g_1+f^2 g_2$, where $f$ is a positive function on
$N_1$. Warped products play very important roles in differential geometry as
well as in physics. A submanifold $M$ of a Kaehler manifold $\tilde M$ is
called a $CR$-warped product if it is a warped product $M_T\times_f N_\perp$ of
a complex submanifold $M_T$ and a totally real submanifold $M_\perp$ of $\tilde
M$.
  In this article we survey recent results on warped product and $CR$-warped
product submanifolds in Kaehler manifolds. Several closely related results will
also be presented.
