2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67276We prove a new upper bound for the smallest eigenvalues of the Dirac operator on a compact hypersurface of the hyperbolic space.4 pages, French. to appear in C. R. Acad. Sci. ParisDifferential GeometryA new extrinsic estimate for the spectrum of the Dirac operatortext