2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/159296In this paper we give bounds for the first eigenvalue of the conformal Laplacian and the Yamabe invariant of a compact Riemannian manifold, by using conditions on the Ricci curvature and the diameter and deduce certain conditions on the manifold to be conformal to a sphere.8 pagesDifferential Geometry53C21; 53C25; 58J60; 58J70Ricci curvature and conformality of Riemannian manifolds to spherestext