Abstract
The main question which the paper discusses is: Is the spaceC(M n ) of uniformized conformal structures of a finite volume (or closed) hyperbolicn-manifoldM n (or its Teichmuller space) connected or not? For the surface case (n=2) the answer is well known to be in the affirmative. By contrast, for the casen=3, we describe herein some exotic conformal structures on a closed hyperbolic 3-manifoldM which are uniformized but cannot be approximated by structures onM obtained from the distinguished conformal (=hyperbolic) structure onM by any of the presently known deformations, meaning by bendings or stampings ofM along totally geodesic submanifolds.
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