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

DOI10.1134/S0001434607070231zbMath1219.53069OpenAlexW2083777212MaRDI QIDQ635559

N. A. Daurtseva

Publication date: 20 August 2011

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434607070231

zbMATH Keywords

Lie algebrasectional curvatureRicci tensorholomorphic functionHopf fibrationRiemannian connectionHermitian metric on a homogeneous spacescalar curvature functional

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Hermitian and Kählerian manifolds (53C55)

Related Items (2)

Erratum: “Complex structure on the six dimensional sphere from a spontaneous symmetry breaking” [J. Math. Phys. 56, 043508 (2015)] ⋮ On almost complex structures on six-dimensional products of spheres

Cites Work

• A class of compact, complex manifolds which are not algebraic
• Unnamed Item

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