  This paper is a continuation of the papers [gr-qc/9409010, gr-qc/9505034,
gr-qc/9603022, gr-qc/9609035, gr-qc/9609046]. The introduction of a prior,
i.e., predynamical global geometry of spacetime manifold is substantiated, and
the geometry is specified. The manifold is an infinite four-cylinder, or tube
in the five-dimensional Euclidean space, the orthogonal section of the cylinder
being the unit three-sphere. Supplementary conditions for metric are introduced
geometrically, coordinate-independently, as opposed to coordinate conditions.
Parity and time-reversal transformations are extended to the manifold
specified. PT is equivalent to a rotation through \pi about an axis orthogonal
to the cylinder axis. CPT invariance is discussed.
  Keywords: cosmic time, cosmic space, cylindrical manifold
