  A solvmanifold is a compact differentiable manifold M on which a connected
solvable Lie group G acts transitively. As the main result, we will see,
applying a result of Arapura and Nori on solvable Kaehler groups and some of
the author's previous results, that a compact solvmanifold admits a Kaehler
structure if and only if it is a finite quotient of a complex torus which has a
structure of a complex torus bundle over a complex torus. There are also quite
a few comments and remarks on and around this result.
