Lagrangian submanifolds in the 6-dimensional nearly Kähler manifolds with parallel second fundamental form

DOI10.1016/j.geomphys.2016.06.004zbMath1348.53024OpenAlexW2466617110WikidataQ125858481 ScholiaQ125858481MaRDI QIDQ314027

Xian Feng Wang, Bart Dioos, YinShan Zhang, Luc Vrancken, Ze-Jun Hu

Publication date: 12 September 2016

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2016.06.004

zbMATH Keywords

Lagrangian submanifoldstotally geodesicparallel second fundamental formBerger spherenearly Kähler \(\mathbb{S}^3 \times \mathbb{S}^3\)

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Rigidity results (53C24) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Local submanifolds (53B25)

Related Items (14)

Properties of the nearly kähler S3×S3 ⋮ On Hopf hypersurfaces of the homogeneous nearly Kähler \(\mathbf{S}^3\times \mathbf{S}^3\). II ⋮ A class of four-dimensional CR submanifolds in six dimensional nearly Kähler manifolds ⋮ On Hopf hypersurfaces of the homogeneous nearly Kähler \(S^3 \times S^3\) ⋮ Lagrangian submanifolds in the homogeneous nearly Kähler \({\mathbb {S}}^3 \times {\mathbb {S}}^3\) ⋮ A characterization of minimal Lagrangian submanifolds of the nearly Kähler \(G \times G\) ⋮ Lagrangian submanifolds of the nearly Kähler full flag manifold \(F_{1 , 2} ( \mathbb{C}^3 )\) ⋮ Isotropic Lagrangian submanifolds in the homogeneous nearly Kähler \(\mathbb S^3\times\mathbb S^3\) ⋮ Three-dimensional CR submanifolds of the nearly Kähler \(\mathbb {S}^3\times \mathbb {S}^3\) ⋮ Lagrangian submanifolds with constant angle functions of the nearly Kähler \(\mathbb{S}^3 \times \mathbb{S}^3\) ⋮ On the nonexistence and rigidity for hypersurfaces of the homogeneous nearly Kähler \(\mathbb{S}^3\times\mathbb{S}^3\) ⋮ Rigidity theorems of Lagrangian submanifolds in the homogeneous nearly Kähler \(\mathbb{S}^6(1)\) ⋮ Lagrangian submanifolds of the nearly Kähler 𝕊3 × 𝕊3 from minimal surfaces in 𝕊3 ⋮ Special Lagrangians in nearly Kähler \(\mathbb{CP}^3\)

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