  We revisit the observational constraints on compact(closed) hyperbolic(CH)
models from cosmic microwave background(CMB). We carry out Bayesian analyses
for CH models with volume comparable to the cube of the present curvature
radius using the COBE-DMR data and show that a slight suppression in the
large-angle temperature correlations owing to the non-trivial topology explains
rather naturally the observed anomalously low quadrupole which is incompatible
with the prediction of the standard infinite Friedmann-Robertson-Walker models.
While most of positions and orientations are ruled out, the likelihoods of CH
models are found to be much better than those of infinite counterparts for some
specific positions and orientations of the observer, leading to less stringent
constraints on the volume of the manifolds. Even if the spatial geometry is
nearly flat as $\Omega_{tot}=0.9-0.95$, suppression of the angular power on
large angular scales is still prominent for CH models with volume much less
than the cube of the present curvature radius if the cosmological constant is
dominant at present.
