Some applications of prolonged covariant differentiation in Weyl spaces

Generalized circles in Weyl spaces and their conformal mapping

“…= 0 so that C becomes a geodesic [7]. Suppose that k = 0 and define the vector field ξ Taking the prolonged covariant derivative of (2.11) in the direction of ξ 1 and using (2.3) and (2.11) we obtain ∇ξ…”

Special networks in the hypersurfaces of generalised recurrent and birecurrent Weyl spaces

“…This formulae has been obtained in [3]. The second Bianchi Identity for a Weyl space is, by [3],∇ k R milj +∇ j R mikl +∇ l R mijk = 0 (1.10)…”