Rigidity of the almost complex surfaces in the nearly Kähler \(\mathbb{S}^3 \times \mathbb{S}^3\)

DOI10.1016/j.geomphys.2015.10.008zbMath1330.53077OpenAlexW1926240153WikidataQ125932716 ScholiaQ125932716MaRDI QIDQ899232

Ze-Jun Hu, YinShan Zhang

Publication date: 23 December 2015

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

Full work available at URL: https://doi.org/10.1016/j.geomphys.2015.10.008

zbMATH Keywords

rigiditynearly Kähler \(\mathbb{S}^3 \times \mathbb{S}^3\)almost complex surface

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Rigidity results (53C24)

Related Items (11)

Lagrangian submanifolds in the 6-dimensional nearly Kähler manifolds with parallel second fundamental form ⋮ On Hopf hypersurfaces of the homogeneous nearly Kähler \(\mathbf{S}^3\times \mathbf{S}^3\). II ⋮ Geodesic lines on nearly Kähler \(\mathbb{S}^3 \times \mathbb{S}^3\) ⋮ On Hopf hypersurfaces of the homogeneous nearly Kähler \(S^3 \times S^3\) ⋮ On the six-dimensional sphere with a nearly Kählerian structure ⋮ Isotropic Lagrangian submanifolds in the homogeneous nearly Kähler \(\mathbb S^3\times\mathbb S^3\) ⋮ Unnamed Item ⋮ Real hypersurfaces of the homogeneous nearly Kähler \(\mathbb{S}^3\times\mathbb{S}^3\) with \(\mathcal{P}\)-isotropic normal ⋮ Three-dimensional CR submanifolds of the nearly Kähler \(\mathbb {S}^3\times \mathbb {S}^3\) ⋮ 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 \(\mathbb{S}^3\times\mathbb{S}^3\)

Cites Work

• Unnamed Item
• Pseudo-holomorphic curves in nearly Kähler manifolds
• The structure of nearly Kähler manifolds
• Structure theorems on Riemannian spaces satisfying \(R(X,Y)\cdot R=0\). I: The local version
• Six-dimensional nearly Kähler manifolds of cohomogeneity one
• Almost complex surfaces in the nearly Kähler \(S^3\times S^3\)
• Sequences of harmonic maps in the 3-sphere
• Submanifolds with Constant Mean Curvature II
• Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length

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