Translation Groups -- Euclidean and Hyperbolic Geometry -- Sphere Geometries of Möbius and Lie -- Lorentz Transformations --?-Projective Mappings, Isomorphism Theorems
Summary
Based on real inner product spaces X of arbitrary (finite or infinite) dimension greater than or equal to 2, this book includes proofs of newer theorems, characterizing isometries and Lorentz transformations under mild hypotheses, like for instance infinite dimensional versions of famous theorems of A D Alexandrov on Lorentz transformations
Bibliography
Includes bibliographical references (pages 267-271) and index