2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/154151In a Riemannian manifold, the existence of a new connection is proved. In particular cases, this connection reduces to several symmetric, semi-symmetric and quarter-symmetric connections; even some of them are not introduced so far. We also find formula for curvature tensor of this new connection.14 pages. to appear in International Electronic Journal of GeometryDifferential GeometryMathematical Physics53B15A new connection in a Riemannian manifoldtext