Transformation of Lie Group and Lie Algebra of Vector Fields on Manifolds.

Abstract

Some aspects of vector fields, integral curves, Lie group and subgroups, exponential mapping, Lie transformation groups, Lie algebra, exponential mapping for a Lie group, left and right invariant vector fields and tangent space on Lie group is treated. In our presented paper a theorem is established regarding to right and left invariant vector fields with Lie Algebra.