CAT(k) group

In mathematics, a CAT(k) group is a group that acts discretely, cocompactly and isometrically on a CAT(k) space.

References

• Hindawi, Mohamad A. (2005). Asymptotic invariants of Hadamard manifolds. University of Pennsylvania: PhD thesis. http://www.math.upenn.edu/grad/dissertations/HindawiThesis.pdf. 

• Bridson, Martin R.; Haefliger, André (1999). Metric spaces of non-positive curvature. Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences] 319. Berlin: Springer-Verlag. pp. xxii+643. ISBN 3-540-64324-9. MR1744486.