  This article continues a line of research aimed at solving an important
problem of T. Kobayashi of the existence of compact Clifford-Klein forms of
reductive homogeneous spaces. We contribute to this topic by showing that
almost all symmetric spaces and 3-symmetric spaces do not admit solvable
compact CliffordfKlein forms (with several possible exceptions). Our basic tool
is a combination of the Hirzebruch-Kobayashi-Ono proportionality principle with
the theory of syndetic hulls. Using this, we prove a general theorem which
yields a sufficient condition for the non-existence of compact solvable
CliffordKlein forms.
