$U(n+1)\times U(p+1)$ - invariant Hermitian metrics with Hermitian tensor Ricci on the manifold $S^{2n+1}\times S^{2p+1}$

Mathematics – Differential Geometry

Scientific paper

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LaTeX, 6 pages. To appear in Vestnik KemGU

Scientific paper

Invariant complex structures on the homogeneous manifold $U(n+1)/U(n)\times
U(p+1)/U(p)$ are reseached. The critical point of the functional of the scalar
curvature is found.

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