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Results tagged with alexandrov-geometry
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user 1450
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 hull in CAT(0)
It is a little absurd to offer a one-week bounty for an open problem, but it can be taken as a request for ideas. So here are some possible constructions of $\text{CAT}(0)$ spaces that are not locall …
- 56.6k
5
votes
Convex hull in CAT(0)
It is on my mind that a related region in $X$ constructed from $K$ is always compact, I think. Any measure $\mu$ on $K$ has a center of gravity $c$, defined as the minimum $x$ of the average value of …
- 56.6k