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Euclidean, hyperbolic, discrete, convex, coarse geometry, metric spaces, comparisons in Riemannian geometry, symmetric spaces.

3 votes

De Rham decomposition theorem, generalisations and good references

Response to the first question: Pantilie, Radu, A simple proof of the de Rham decomposition theorem, Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 36, No. 3-4, 341-343 (1992). ZBL0811.53040.
C.F.G's user avatar
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2 votes

Geodesics on the sphere

I don't know that these are correct or not. The simplest way (in practice ) that come to my mind is the following trick. Consider two points $p$ and $q$ on sphere. connect them by an straight line …
C.F.G's user avatar
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