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Results tagged with alexandrov-geometry
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user 122026
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 $\mathrm{CAT}[\kappa]$).
4
votes
Convex subcomplexes of CAT(0) cubical complexes
In addition to Anton Petrunin's answer, I would like to mention that a more combinatorial argument is possible. Indeed, in a CAT(0) cube complex $X$, a full subcomplex $Y$ (i.e. a subcomplex which con …
- 8,401
10
votes
Accepted
CAT(0) groups that does not act on CAT(0) cubical complex
Many CAT(0) groups cannot act geometrically on CAT(0) cube complexes. For instance:
CAT(0) groups satisfying Kazhdan's property (T), eg. uniform lattices in simple Lie groups of higher rank or in qu …
- 8,401