  The purpose of this paper is to study the property of the resolvent of the
Laplace-Beltrami operator on a noncompact complete Riemannian manifold with
various ends each of which has a different limit of the growth rate of the
Riemannian measure at infinity, in particular, focusing on the limiting
absorption principle. As a result, we will obtain the absolute continuity of
the Laplace-Beltrami operator.
