Ratcliffe, John G. creator author. Cham, Switzerland Springer 2026 3rd ed. eng xii, 800 p. : ill. ; 24 cm. 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. 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. John G. Ratcliffe. Includes bibliographical references and index. Mathematics Hyperbolic manifolds Hyperbolic geometry Topology Discrete groups (Mathematics) Geometric structures 516.9 RAT 9783032206763 (pbk.) 260729 20260729165136.0