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Results tagged with mg.metric-geometry
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user 2497
Euclidean, hyperbolic, discrete, convex, coarse geometry, metric spaces, comparisons in Riemannian geometry, symmetric spaces.
8
votes
0
answers
586
views
Hausdorff measure question
Say we have some compact metrisable topological space $X$ with a measure $\mu$ defined on the Borel sets of $X$. Then is there some way to determine whether $\mu$ is the Hausdorff measure associated t …
- 1,665
11
votes
2
answers
1k
views
Characterization of Riemannian metrics
This is probably an insanely hard question, but given an abstract metric space, is there some way to determine whether it's a manifold with a Riemannian, or more generally a Finslerian, metric? If tha …
- 1,665
3
votes
2
answers
2k
views
Cone angles for Riemannian metrics in polar coordinates
This is the simplest case of a question that's been bugging me for a while: say we have a Riemannian metric in polar coordinates on a $(2-d)$ surface:
$$
g=dr^2+f^2(r, \theta;)d\theta^2,
$$ such that …
- 1,665