Complex Hyperbolic Geometry

Erscheinungsjahr 1999
ISBN: 978-0-19-853793-9
Verlag: OUP Oxford

Buch, Englisch, 336 Seiten, Print PDF, Format (B × H): 161 mm x 240 mm, Gewicht: 675 g

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.

Autoren/Hrsg.

Goldman, William Mark

Goldman, William M.

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Nicht-Euklidische Geometrie
• Mathematik | Informatik Mathematik Geometrie Elementare Geometrie: Allgemeines
• Mathematik | Informatik Mathematik Geometrie Differentialgeometrie

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