The first eigenvalue of the Dirac operator on locally reducible Riemannian manifolds

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74321We prove a lower estimate for the first eigenvalue of the Dirac operator on a compact locally reducible Riemannian spin manifold with positive scalar curvature. We determine also the universal covers of the manifolds on which the smallest possible eigenvalue is attained.7 pagesDifferential Geometry53C27; 53C15; 35P15The first eigenvalue of the Dirac operator on locally reducible Riemannian manifoldstext