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Results tagged with mg.metric-geometry
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user 16959
Euclidean, hyperbolic, discrete, convex, coarse geometry, metric spaces, comparisons in Riemannian geometry, symmetric spaces.
10
votes
Unexpected applications of Dvoretzky's theorem
The one that Gil Kalai mentions is the best one.
Here is a couple of other applications, although they are not really applications of Dvoretsky's theorem per se.
Algebraic topology:
Milman (or Gromo …
- 1,303
8
votes
0
answers
282
views
Systoles of hyperbolic (Riemann) surfaces of large genus
Let $m$ be a Riemannian metric on $S_g$ the surface of genus $g$, and $sys(m)$ be the length of the shortest non contractible cycle with respect to $m$.
The systolic inequality claims that for any me …
- 1,303