(Al-Neelain University, 2016) Adam Mehmmoud Ahmed Mohemmed.
Abstract
In this study we consider the geometrical differential concepts that are needed to formulate the
differential equations on manifolds. The solutions of differential equations are submanifolds of ambient
manifolds. The existence of solutions is provided by Frobenius theorem, where Lie algebras are utilized in
the formulation. Other topics are also considered such as control problems and Mechanical systems.
