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Feb 3, 2015 at 2:10 vote accept Stan Shunpike
Jan 13, 2015 at 8:19 comment added Valter Moretti Yes, I did not write it because it seemed to me obvious. An affine space is a triple made of the set of points, a vector space and a map associating pairs of points with vectors satisfying certain requirements. The scalar product can obviously be associated with the vector space only.
Jan 13, 2015 at 5:04 comment added Marc van Leeuwen Scalar products are defined on vector spaces, so you should say the tangent space (or the space of translations of the affine space, which amounts to the same) is equipped with a Lorentzian scalar product.
Jan 12, 2015 at 8:57 history answered Valter Moretti CC BY-SA 3.0