I think you are right and did split the Geometry of the universe in a predating relativity and a including relativity part not the nicest titles but I could not think of anything better at the moment For the including relativity part I did pick bits of what you wrote above please check and enlarge where needed some references would be nice thanks for the discussion It did teach me that Minkowski space has some euclidean dimensions and that the anti de Sitter space is in my humble and not scientific opinion the real thing