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Results tagged with alexandrov-geometry
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user 13877
Alexandrov geometry studies non smooth analogues of Riemannian manifolds with curvature bounded from below or above. It includes spaces with curvature bounded below (briefly $\mathrm{CBB}[\kappa]$) and spaces with curvature bounded above (briefly $\mathrm{CAT}[\kappa]$).
24
votes
Is $SL(n,\mathbb{Z})$ a CAT(0) group?
If n=2, yes: it acts on its Bass-Serre tree.
If n>2, no: your group contains distorted elements, i.e. elements conjugated to a proper power of themselves (look at unipotent matrices).
Such an elemen …
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