Complex Hyperbolic Geometry

Klappentext Complex hyperbolic geometry is a particularly rich field, drawing on Riemannian geometry, complex analysis, symplectic and contact geometry, Lie group theory, and harmonic analysis. The boundary in complex hyperbolic spaces, known as spherical CR or Heisenberg geometry, reflects this richness. However, while there are a number of books on analysis in such spaces, this book is the first to focus on the geometry, both for 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. Zusammenfassung 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. Inhaltsverzeichnis 1: The complex projective line 2: Algebraic and geometric background 3: The ball model 4: The paraboloid model and Heisenberg geometry 5: Bisectors and spinal spheres 6: Automorphisms 7: Numerical invariants 8: Extors in projective space 9: Intersections of bisectorsAppendixBibliographyIndex Appendix Bibliography Index

Dettagli sul prodotto

• Autori: William M Goldman, William M. Goldman, William M. (Professor of Mathematics Goldman, William Mark Goldman, Goldman William M.
• Editore: Oxford University Press
• Lingue: Inglese
• Formato: Copertina rigida
• Pubblicazione: 01.01.1999
• EAN: 9780198537939
• ISBN: 978-0-19-853793-9
• Pagine: 336
• Serie: Oxford Mathematical Monographs; Oxford Mathematical Monographs
• Categorie: Scienze naturali, medicina, informatica, tecnica > Matematica > Geometria; MATHEMATICS / Geometry / Differential, MATHEMATICS / Geometry / Analytic, Analytic geometry, Differential & Riemannian geometry, Non-Euclidean geometry, Differential and Riemannian geometry, MATHEMATICS / Geometry / Non-Euclidean