On the nonexistence and rigidity for hypersurfaces of the homogeneous nearly Kähler \(\mathbb{S}^3\times\mathbb{S}^3\)

DOI10.1016/j.difgeo.2021.101717zbMath1466.53021OpenAlexW3121793525WikidataQ115354632 ScholiaQ115354632MaRDI QIDQ2022409

Marilena Moruz, Zeke Yao, Luc Vrancken, Ze-Jun Hu

Publication date: 29 April 2021

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2021.101717

zbMATH Keywords

Hopf hypersurfaceconformally flat hypersurfaceEinstein hypersurfacenearly Kähler \(S^3\times S^3\)Simons-type integral inequality

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Rigidity results (53C24) Local differential geometry of Hermitian and Kählerian structures (53B35) Local submanifolds (53B25)

Related Items (7)

Hypersurfaces of the homogeneous nearly Kähler \(\mathbf{S}^3 \times \mathbf{S}^3\) with \(P\)-invariant holomorphic distributions ⋮ Non-existence of conformally flat real hypersurfaces in both the complex quadric and the complex hyperbolic quadric ⋮ Cyclic semi-parallel real hypersurfaces in complex Grassmannians of rank two ⋮ Classification of semi-parallel hypersurfaces of the product of two spheres ⋮ Unnamed Item ⋮ Hypersurfaces of the homogeneous nearly Kähler \(\mathbb{S}^3\times \mathbb{S}^3\) whose normal vector field is \(\mathcal{P}\)-principal ⋮ New characterizations of the Whitney spheres and the contact Whitney spheres

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