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U(n+1)× U(p+1) - invariant Hermitian metrics with Hermitian tensor Ricci on the manifold S2n+1× S2p+1

N. A. Daurtseva

math.DGarXiv:math/0310124

Abstract

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

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