The definition u ⋅ ⋅ v = η η ( u , v ) yields an inner product-like structure on M, previously and also henceforth, called the Minkowski inner product, similar to the Euclidean inner product, but it describes a different geometry. It is also called the relativistic dot product. If the two arguments are the same, u ⋅ ⋅ u = η η ( u , u ) ≡ ≡ ‖ ‖ u ‖ ‖ 2 ≡ ≡ u 2 , the resulting quantity will be called the Minkowski norm squared. The Minkowski inner product satisfies the following properties.