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.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.