Riemannian Metrics of Constant Mass and Moduli Spaces of Conformal Structures

Lutz Habermann (eds.)9783540679875, 3540679871

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.

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Table of contents :
Preliminaries….Pages 1-9
A canonical metric for flat conformal manifolds….Pages 11-31
Kleinian groups and moduli spaces….Pages 33-53
Asymptotics: The flat case….Pages 55-82
Generalization in low dimensions….Pages 83-100
The moduli space of all conformal structures….Pages 101-107