Ratcliffe, John G.

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.

9783032206763 (pbk.)


Mathematics
Hyperbolic manifolds.
Hyperbolic geometry.
Topology.
Discrete groups (Mathematics)
Geometric structures.

516.9 RAT