Abstract:Abstract. In many applied sciences, the theory of manifold plays an extremely important role, such as mechanics, electromagnetism, and field theory, etc. and in applied science derived from these sciences, manifold has many applications, it often acts as important research tools. In this article, we introduces the derivation process on involutions of the manifold, from these process, some skills are considered when the tool (i.e. manifold) can be applied.
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