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Comparing corresponding dihedral angles on classical geometric simplices. (English) Zbl 1161.51005

The authors compare the dihedral angles of simplexes in classical geometries. It is shown, roughly speaking, that \(\mathbb{H}^{n}\prec\mathbb{E}^{n} \prec\mathbb{S}^{n}\).

MSC:

51K10 Synthetic differential geometry
53A99 Classical differential geometry