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While we're at it we should probably have some article about the generalization to arbitrary metric signature of 2-dimensional space forms, maybe titled non-Euclidean plane or something (I'm not sure if there's a standard name in the literature, but currently our only article is Cayley–Klein metric which isn't really the right scope for this), including not just the 2-sphere, Euclidean plane, and hyperbolic plane but also the the Galilean plane, Lorentzian plane, de Sitter plane, Anti-de Sitter plane, and the duals of the Euclidean plane and Lorentzian plane (not sure what the best or most common name is for these), all of which should also have their own separate articles. –jacobolus(t) 21:21, 26 December 2023 (UTC)[reply]
@Chatul I made some additions. Is that helpful? (Feel free to make further changes.) –jacobolus(t) 01:40, 27 December 2023 (UTC)[reply]