Flat almost complex surfaces in the homogeneous nearly Kähler \(S^3\times S^3\)

DOI10.1007/s00025-018-0784-yzbMath1393.53049OpenAlexW2793201344MaRDI QIDQ1743253

Haizhong Li, Luc Vrancken, Bart Dioos, Hui Ma

Publication date: 13 April 2018

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-018-0784-y

zbMATH Keywords

nearly Kähler manifoldflat surfacealmost complex surface

Mathematics Subject Classification ID

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

Related Items (14)

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 \(S^3 \times S^3\) ⋮ Surfaces of the nearly Kähler S3×S3${\bf \mathbb {S}^3\times \mathbb {S}^3}$ preserved by the almost product structure ⋮ Lagrangian submanifolds in the homogeneous nearly Kähler \({\mathbb {S}}^3 \times {\mathbb {S}}^3\) ⋮ A characterization of minimal Lagrangian submanifolds of the nearly Kähler \(G \times G\) ⋮ Isotropic Lagrangian submanifolds in the homogeneous nearly Kähler \(\mathbb S^3\times\mathbb S^3\) ⋮ Real hypersurfaces of the homogeneous nearly Kähler \(\mathbb{S}^3\times\mathbb{S}^3\) with \(\mathcal{P}\)-isotropic normal ⋮ Some classes of CR submanifolds with an umbilical section of the nearly Kähler \(\mathbb{S}^3\times\mathbb{S}^3\) ⋮ Geometric classification of warped product submanifolds of nearly Kaehler manifolds with a slant fiber ⋮ 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 \(\mathbb{S}^3\times\mathbb{S}^3\) ⋮ The Bonnet problem for harmonic maps to the three-sphere

Cites Work

• Unnamed Item
• New \(\mathrm{G}_2\)-holonomy cones and exotic nearly Kähler structures on \(S^6\) and \(S^3\times S^3\)
• Submanifolds and special structures on the octonians
• Pseudo-holomorphic curves in nearly Kähler \(\mathbf {CP}^{3}\)
• Almost complex submanifolds of a 6-dimensional sphere
• On almost complex surfaces of the nearly Kaehler 6-sphere. II
• The sixteen classes of almost Hermitian manifolds and their linear invariants
• Six-dimensional nearly Kähler manifolds of cohomogeneity one
• Almost complex surfaces in the nearly Kähler \(S^3\times S^3\)
• An existence theorem for surfaces of constant mean curvature
• ON ALMOST COMPLEX CURVES IN THE NEARLY KÄHLER 6-SPHERE
• Almost Complex Submanifolds of the Six Sphere

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