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Isometries of CAT(0) Spaces

1999
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 ...
André Haefliger, Martin R. Bridson
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CAT(0) spaces and expanders

Mathematische Zeitschrift, 2011
We construct a CAT(0) space Y with Izeki–Nayatani invariant δ(Y) = 1. By a similar construction, we also prove that there exists a CAT(0) space which does not have Markov type p for every p > 1.
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Invariant approximations in CAT(0) spaces

Nonlinear Analysis: Theory, Methods & Applications, 2009
Abstract Some common fixed point and invariant approximation results for CAT(0) spaces are obtained. Our results improve and extend some results of Shahzad and Markin [N. Shahzad, J. Markin, Invariant approximation for commuting mappings in hyperconvex and CAT(0) spaces, J. Math. Anal. Appl.
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The Boundary at Infinity of a CAT(0) Space

1999
In this chapter we study the geometry at infinity of CAT(0) spaces. If X is a simply connected complete Riemannian n-manifold of non-positive curvature, then the exponential map from each point x ∈ X is a diffeomorphism onto X. At an intuitive level, one might describe this by saying that, as in our own space, the field of vision of an observer at any ...
Martin R. Bridson, André Haefliger
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