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Results tagged with mg.metric-geometry
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user 1004
Euclidean, hyperbolic, discrete, convex, coarse geometry, metric spaces, comparisons in Riemannian geometry, symmetric spaces.
24
votes
Accepted
On the global structure of the Gromov-Hausdorff metric space
To answer the main question -- there are no nontrivial self-isometries of $\mathcal{GH}$.
I can give a proof of this, but as it is getting rather long, I will state some facts in $\mathcal{GH}$ witho …
- 17.1k
7
votes
Accepted
Prescribing areas of parallelograms (or 2x2 principal minors)
In the case where the matrix $(a^2_{ij})\_{i,j=1,\ldots,n}$ is nonsingular, then the problem reduces to the condition that it has a single positive eigenvalue. In fact, we have the following for any $ …
- 17.1k
11
votes
Accepted
Does there exist a shot in ideal pocket billiards?
How about the following? It suggests the answer to Q1 is no.
The 2,15,6,9 and cueball are in a horizontal row and touching (or very nearly touching). The 14,cueball and 4 are in a vertical row and (v …
- 17.1k