On some hypersurfaces of the homogeneous nearly Kähler

DOI10.1002/MANA.201600398zbMath1384.53052OpenAlexW2736825570MaRDI QIDQ4606970

Zeke Yao, YinShan Zhang, Ze-Jun Hu

Publication date: 9 March 2018

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201600398

zbMATH Keywords

hypersurfaceparallel second fundamental formalmost contact structuretotally umbilicalnearly Kähler \(\mathbf{S}^3\times\mathbf{S}^3\)

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Local differential geometry of Hermitian and Kählerian structures (53B35)

Related Items (12)

Hypersurfaces of the homogeneous nearly Kähler \(\mathbf{S}^3 \times \mathbf{S}^3\) with \(P\)-invariant holomorphic distributions ⋮ On Hopf hypersurfaces of the homogeneous nearly Kähler \(\mathbf{S}^3\times \mathbf{S}^3\). II ⋮ On Hopf hypersurfaces of the homogeneous nearly Kähler \(S^3 \times S^3\) ⋮ Quasi-Yamabe and Yamabe solitons on hypersurfaces of nearly Kähler manifolds ⋮ On Hopf hypersurfaces of \(\mathbb{S}^2 \times \mathbb{S}^2\) and \(\mathbb{H}^2 \times \mathbb{H}^2\) ⋮ Unnamed Item ⋮ Real hypersurfaces of the homogeneous nearly Kähler \(\mathbb{S}^3\times\mathbb{S}^3\) with \(\mathcal{P}\)-isotropic normal ⋮ Hypersurfaces of the homogeneous nearly Kähler \(\mathbb{S}^3\times \mathbb{S}^3\) whose normal vector field is \(\mathcal{P}\)-principal ⋮ On the nonexistence and rigidity for hypersurfaces of the homogeneous nearly Kähler \(\mathbb{S}^3\times\mathbb{S}^3\) ⋮ On Hopf hypersurfaces of the complex quadric with recurrent Ricci tensor ⋮ Hypersurfaces of the nearly Kähler twistor spaces \(\mathbb{C}\mathrm{P}^3\) and \(\mathbb{F}_{1,2} \) ⋮ On real hypersurfaces of 𝕊²×𝕊²

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