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

Daurtseva, N. A.

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

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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.
LaTeX, 6 pages. To appear in Vestnik KemGU

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Differential Geometry, 58B20 (Primary) 53C15 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/68789

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0310124
http://arxiv.org/abs/math/0310124

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

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