- #1

atyy

Science Advisor

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## Main Question or Discussion Point

I'm asking because I think of Minkowski space as a manifold with a Riemannian metric. However, I've also seen treatments in which an event in spacetime is chosen as origin, and special relativity treated as a vector space given the choice of origin.

Does this mean that a vector space is a manifold? Or is the vector space treatment of special relativity somewhat different from the Riemannian metric treatment?

Does this mean that a vector space is a manifold? Or is the vector space treatment of special relativity somewhat different from the Riemannian metric treatment?