The folding of minimal manifolds and its deformation

In this paper we introduce new types of foldings defined on manifolds which we call minimal foldings (or conditional folding restricted by the minimalty). The relations between the topological folding and minimal folding are considered, the isominimal foldings of a manifold into another manifold are deduced. The relation between the retraction, deformation and minimal folding is achieved. Theorems governing these types of foldings are obtained and discussed.