Articoli correlati a Complex Hyperbolic Geometry
Sinossi
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.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Contenuti
- 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
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
- EditoreOUP Oxford
- Data di pubblicazione1999
- ISBN 10 019853793X
- ISBN 13 9780198537939
- RilegaturaCopertina rigida
- LinguaInglese
- Numero di pagine336
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Complex Hyperbolic Geometry (Hardcover)
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Hardcover. Condizione: new. Hardcover. 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. Thisbook 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 spacesand discrete groups, it is designed to provide an introduction to this fascinating and important area and invite further research and development. 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. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Codice articolo 9780198537939
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Complex Hyperbolic Geometry (Hardcover)
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ISBN 13: 9780198537939
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Hardcover. Condizione: new. Hardcover. 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. Thisbook 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 spacesand discrete groups, it is designed to provide an introduction to this fascinating and important area and invite further research and development. 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. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Codice articolo 9780198537939
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Complex Hyperbolic Geometry (Hardcover)
Editore:
Oxford University Press, Oxford, 1999
ISBN 10: 019853793X
ISBN 13: 9780198537939
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Hardcover. Condizione: new. Hardcover. 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. Thisbook 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 spacesand discrete groups, it is designed to provide an introduction to this fascinating and important area and invite further research and development. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Codice articolo 9780198537939
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