Hyperbolic Manifolds: An Introduction in 2 and 3 Dimensions

ISBN-13: 9781107116740 / Angielski / Twarda / 2016 / 529 str.

Albert Marden

Opis

This study of hyperbolic geometry has both pedagogy and research in mind, and includes exercises and further reading for each chapter.

Recenzje

'… the book provides an excellent overview of the developments of recent decades in the theory of hyperbolic 3-manifolds.' Thilo Kuessner, Mathematical Reviews

Spis treści

List of illustrations; Preface; 1. Hyperbolic space and its isometries; 2. Discrete groups; 3. Properties of hyperbolic manifolds; 4. Algebraic and geometric convergence; 5. Deformation spaces and the ends of manifolds; 6. Hyperbolization; 7. Line geometry; 8. Right hexagons and hyperbolic trigonometry; Bibliography; Index.