Sectional curvatures on Weyl manifolds with a special metric connection

In this paper, Weyl manifolds, denoted by WS(g, w, π, μ), having a special a semisymmetric recurrentmetric connection are introduced and the uniqueness of this connection is proved. We give an example of WS(g;w; π, μ) with a constant scalar curvature. Furthermore, we define sectional curvatures of WS(g;w; π, μ) and prove that any isotropic Weyl manifold WS(g;w; π, μ) is locally conformal to an Einstein manifold with a semisymmetric recurrentmetric connection, EWS(g;w; π, μ) .