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

N. A. Daurtseva

paper

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

arXiv:math/0310124

Abstract

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

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

Abstract

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