The theory of integration on manifold and the volume for parallel hypersurfaces

The theory of integration on manifold and the volume for parallel hypersurfaces

We generalized the theorem about the hyper ar e a element dA for the manifold of orient u in En and by using this theorem we proved the generalized Divergence Theorem. First we defined the outward unit normal vector. filed of manifold M in a hypersurface as:

___

  • Communications, Series A1:Mathematics and Statistics