Generating Matrices of Rotations in Minkowski Spaces using the Lie Derivative

This paper aims to generate materices of rotations in Minkowski using the Lie Derivative. The calculus on manifolds Lorentzian spaces are used matrices rotation three-dimensional Lorentz-Minkowski space which includes one axis timelike and other two spacelike axes. findings showed that their dramatically increased use derivative many branches mathematics physics, also revealed ( rotation) leave line axis) fixed these widely differential geometry physics. Furthermore, demonstrated any surfaces revolution inside this must be invariant under matrices. main result is a new procedure creating rotational explicitly deriving it into linear system ordinary equaion. Solving leads leaves space.