Hello, I am re-reading a book about quantum physics and general relativity. To introduce representation of the lorentz group, they explain the definition of lorentz group as the group of transformation that let x² + y² ... -t² unchanged. But in cuved space the distance is not the same as in minkowsky space, it's the integral of the metric * dx. Is the lorentz invariance still aviable ? and the related decomposition ?