Foundations of Hyperbolic Manifolds

• Κύριος συγγραφέας: Ratcliffe, John G. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York, 2006.
• Έκδοση: Second Edition.
• Σειρά: Graduate Texts in Mathematics, 149
• Θέματα: Mathematics.; Algebraic geometry.; Geometry.; Topology.; Algebraic Geometry.

This book is an exposition of the theoretical foundations of hyperbolic manifolds. It is intended to be used both as a textbook and as a reference. The book is divided into three parts. The first part is concerned with hyperbolic geometry and discrete groups. The main results are the characterizatio...

Πίνακας περιεχομένων:

• Euclidean Geometry
• Spherical Geometry
• Hyperbolic Geometry
• Inversive Geometry
• Isometries of Hyperbolic Space
• Geometry of Discrete Groups
• Classical Discrete Groups
• Geometric Manifolds
• Geometric Surfaces
• Hyperbolic 3-Manifolds
• Hyperbolic n-Manifolds
• Geometrically Finite n-Manifolds
• Geometric Orbifolds.