2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76239We prove that the largest first eigenvalue of the Dirac operator among all hermitian metrics on the complex projective space of odd dimension $m$, larger than the Fubini-Study metric is bounded by $(2m(m+1))^{1/2}$.6 pagesDifferential Geometry53C27, 58J50,58J60Vafa-Witten bound on the complex projective spacetext