Foundations of hyperbolic manifolds /
John G. Ratcliffe.
- 3rd ed. Reprint 2026.
- Cham, Switzerland : Springer 2026
- xii, 800 p. : ill. ; 24 cm.
- .
Includes bibliographical references and index.
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.
A graduate-level textbook presenting the theoretical foundations of hyperbolic manifolds, including hyperbolic geometry, discrete groups, geometric topology, and orbifolds. Suitable as both a textbook and a reference work.