2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/132794In this paper, we give an optimal lower bound for the eigenvalues of the basic Dirac operator on a quaternion-Kahler foliation. The limiting case is characterized by the existence of quaternion-Kahler Killing spinors. We end this paper by giving some examples.Differential Geometry53C20, 53C12, 57R30, 58G25Eigenvalues of the basic Dirac operator on quaternion-Kahler foliationstext