The theory of metrical distortions and turbulences [1, 2] is concluded by some remarks concerning almost global existence, regularity of turbulences, etc. Moreover, invariant hydrodynamics is intensified by some remarks to the inclusion of invariant friction and some solution strategies within transformation group theory. Invariant hydrodynamics is thereby a possible solution of the hydrodynamical regularity problem, simply by defining the hydrodynamical equation gauge invariant with respect to frame transformations. The concrete turbulence motion, especially inclusive friction, is nevertheless an open problem.

general transformation group, metrical distortions, turbulence, invariant hydrodynamical regularity.