2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61093We give lower bounds for the eigenvalues of the submanifold Dirac operator in terms of intrinsic and extrinsic curvature expressions. We also show that the limiting cases give rise to a class generalizing that of Killing spinors. We conclude by translating these results in terms of intrinsic twisted Dirac operators.15 pagesDifferential GeometrySymplectic Geometry53C27, 53C40, 53C80, 58G25text