(generalized to any dimension) - constant vanishing sectional curvature
* Anti-de Sitter space - constant negative sectional curvature.The de Sitter and anti-de Sitter spaces of dimension 2 are the same (the sign of the curvature depends on which direction is referenced as "space-like").

For every signature, dimension and curvature, a similar classification exists.

Properties

* Every space of constant curvature is locally symmetric,

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