This monograph deals with recent questions of conformal geometry. It provides in detail an approach to studying moduli spaces of conformal structures, using a new canonical metric for conformal structures. This book is accessible to readers with basic knowledge in differential geometry and global analysis. It addresses graduates and researchers
CONTENT
Preliminaries -- A canonical metric for flat conformal manifolds -- Kleinian groups and moduli spaces -- Asymptotics: The flat case -- Generalization in low dimensions -- The moduli space of all conformal structures