Isometries of CAT(0) Spaces
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.
KeywordsFinite Index Geodesic Line Closed Convex Hull Geodesic Space Compact Topological Group
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