2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67632Invariant complex structures on the homogeneous manifold $U(n+1)/U(n)\times U(p+1)/U(p)$ are reseached. Extreme values of sectional curvature of Hermitian metrics on this manifold are found.LaTeX, 11 pages; changed contentDifferential Geometry58B20 (Primary) 53C15 (Secondary)Extreme values of sectional curvature on the homogeneous complex manifolds $U(n+1)/U(n)\times U(p+1)/U(p)$text