Geometries of manifolds equipped with a Ricci (projection-Ricci) quarter-symmetric connection
Geometries of manifolds equipped with a Ricci (projection-Ricci) quarter-symmetric connection
We first introduce a Ricci quarter-symmetric connection and a projective Ricci quarter-symmetric connection, and then we investigate a Riemannian manifold admitting a Ricci (projective Ricci) quartersymmetric connection (M,g), and prove that a Riamannian manifold with a Ricci(projection-Ricci) quartersymmetric connection is of a constant curvature manifold. Furthermore, wederive that an Einstein …