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Euclidean, hyperbolic, discrete, convex, coarse geometry, metric spaces, comparisons in Riemannian geometry, symmetric spaces.
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What fraction of a sphere's volume lies within a cone?
As I wrote in KvanTTT's question on math.stackexchange: Solid angle between vectors in n-dimensional space, see Ribando's paper:
https://link.springer.com/content/pdf/10.1007%2Fs00454-006-1253-4.pdf
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