Complex Hyperbolic Geometry by William M Goldman

Complex Hyperbolic Geometry by William M Goldman

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Résumé

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.

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Complex Hyperbolic Geometry by William M Goldman

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.
SKU Non disponible
ISBN 13 9780198537939
ISBN 10 019853793X
Titre Complex Hyperbolic Geometry
Auteur William M Goldman
Série Oxford Mathematical Monographs
État Non disponible
Éditeur Oxford University Press
Année de publication 1999-02-18
Nombre de pages 336
Note de couverture La photo du livre est présentée à titre d'illustration uniquement. La reliure, la couverture ou l'édition réelle peuvent varier.
Note Non disponible