Complex Hyperbolic Geometry
Book Details
Format
Hardback or Cased Book
Book Series
Oxford Mathematical Monographs
ISBN-10
019853793X
ISBN-13
9780198537939
Publisher
Oxford University Press
Imprint
Oxford University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Feb 18th, 1999
Print length
336 Pages
Weight
638 grams
Dimensions
23.90 x 16.40 x 2.70 cms
Product Classification:
Non-Euclidean geometryDifferential & Riemannian geometryAnalytic geometry
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The geometry of complex hyperbolic space has not, so far, been given a comprehensive treatment in the literature. This book seeks to address this by providing an overview of this particularly rich area of research, and is largely motivated by the wide applications in other areas of mathematics and physics.
Complex hyperbolic geometry is a particularly rich area of study, enhanced by the confluence of several areas of research including Riemannian geometry, complex analysis, symplectic and contact geometry, Lie group theory, and harmonic analysis. The boundary of complex hyperbolic geometry, known as spherical CR or Heisenberg geometry, is equally rich, and although there exist accounts of analysis in such spaces there is currently no account of their geometry. This book redresses the balance and provides an overview of the geometry of both the complex hyperbolic space and its boundary. Motivated by applications of the theory to geometric structures, moduli spaces and discrete groups, it is designed to provide an introduction to this fascinating and important area and invite further research and development.
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