  We analyse the anisotropy of the cosmic microwave background (CMB) in
hyperbolic universes possessing a non-trivial topology with a fundamental cell
having an infinitely long horn. The aim of this paper is twofold. On the one
hand, we show that the horned topology does not lead to a flat spot in the CMB
sky maps in the direction of the horn as stated in the literature. On the other
hand, we demonstrate that a horned topology having a finite volume could
explain the suppression of the lower multipoles in the CMB anisotropy as
observed by COBE and WMAP.
