Extreme values of sectional curvature on the homogeneous complex manifolds $U(n+1)/U(n)\times U(p+1)/U(p)$

Abstract

Invariant 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.

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