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Results tagged with alexandrov-geometry
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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 $\mathrm{CAT}[\kappa]$).
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Accepted
Braid groups acting on CAT(0)-complexes
As Sam Nead says, $B_n$ contains $\mathbb{Z}^2 * \mathbb{Z}$, and you can find an example the way he suggests.
If you'd like something much more explicit, you can simply take the first three standard …
- 35.5k
14
votes
When is a extension of $\mathbb{Z}$ by a free group a CAT(0) group?
You'll find some examples of CAT(0) free-by-cyclics in
Samuelson, "On CAT(0) structures for free-by-cyclic groups"
and
Barnard and Brady, "Distorsion of surface groups in CAT(0) free-by-cyclic grou …
- 10.6k