Instead, it has a signature with one unit vector of different sign from the others, meaning that any orthonormal basis of this space has one vector of different sign, and that vector is called the timelike component.
Its symmetry group is a ten-dimensional noncompact Lie [LEE] group called the Poincare group. The triangle inequality is reversed when operating on it, since if you consider it as a vector space, its inner product is not positive-definite. Instead, it has a signature with one unit vector of different sign from the others, meaning that any orthonormal basis of this space has one vector of different sign, and that vector is called the timelike component. Vectors are analogously called lightlike if their inner product with themselves is zero. FTP, identify this four-dimensional manifold named for a German mathematician, the setting for Einstein's theory of special relativity.
Its symmetry group is a ten-dimensional noncompact Lie [LEE] group called the Poincare group.
{Minkowski} space