Isometries of CAT(0) Spaces

  • Martin R. Bridson
  • André Haefliger
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 319)


In Chapters 2 and 6 of Part I we described the isometry groups of the most classical examples of CAT(0) spaces, Euclidean space and real hyperbolic space. Already in these basic examples there is much to be said about the structure of the isometry group of the space, both with regard to individual isometries and with regard to questions concerning the subgroup structure of the full group of isometrics. More generally, the study of isometries of non-positively curved manifolds is well-developed and rather elegant. In this chapter we shall study isometries of arbitrary CAT(0) spaces X.


Finite Index Geodesic Line Closed Convex Hull Geodesic Space Compact Topological Group 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • Martin R. Bridson
    • 1
  • André Haefliger
    • 2
  1. 1.Mathematical InstituteUniversity of OxfodOxfordGreat Britain
  2. 2.Section de MathématiquesUniversité de GenèveGenève 24Switzerland

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