  We study the $L^p$-spectrum of the Laplace-Beltrami operator on certain
complete locally symmetric spaces $M=\Gamma\backslash X$ with finite volume and
arithmetic fundamental group $\Gamma$ whose universal covering $X$ is a
symmetric space of non-compact type. We also show, how the obtained results for
locally symmetric spaces can be generalized to manifolds with cusps of rank
one.

Spectral Theory;Differential Geometry