The variation of the density functions on chaotic spheres in chaotic space-like Minkowski space time

In this article we introduce types of chaotic spheres in chaotic space-like Minkowski space time Mn+1. The variations of the density functions under the folding of these chaotic spheres are defined. The foldings restriction imposed on the density function are also discussed. The relations between the folding of geometry and pure chaotic manifolds are deduced. Some theorems concerning these relations are presented.