are now the components of the Riemann-Christoffel

curvature tensor describing the curvature of space-time in the standard general relativity theory.

This is nothing else but

curvature tensor of Q-space built out of proper Q-connexion components (in their turn being functions of 4D coordinates).

so, despite the fact that the observable

curvature tensor [C.

which possesses all the properties of the Riemann-Christoffel

curvature tensor [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] in the observer's spatial section, and constructed with the use [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] where [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] is the chr.

By analogy with the Riemann-Christoffel

curvature tensor, Zelmanov derived the chr.

2) are the components of a [THETA](4)-invariant tensor field; (b) The

curvature tensor, the Ricci tensor, and the scalar curvature related to (2.

Therefore the non-vanishing components of the projective

curvature tensor and their covariant derivatives are respectively:

mu]v] is the Einsteinian

curvature tensor of spacetime, [T.

p]M, p [member of] M, by h the second fundamental form and by R the Riemann

curvature tensor of M.

In this paper we extend the conservativeness of conformal and Quasi conformal

curvature tensor to K-contact manifold admitting semi-symmetric metric connection.

They define a Weil-Petersson metric on T(1) by Hilbert space inner products on tangent spaces, execute its Riemann

curvature tensor, and show that T(1) is a Kahler-Einstein manifold with negative Ricci and sectional curvatures.

for any vector fields X, Y, Z, where R and S are the Riemannian

curvature tensor and Ricci tensor of the manifolds respectively ([10], [18]).