On J-parallel totally real three-dimensional submanifolds of \(S^{6}\)(1)

DOI10.1016/j.geomphys.2009.09.010zbMath1186.53025OpenAlexW2051586554MaRDI QIDQ2266908

Luc Vrancken, Mirjana Djoric

Publication date: 26 February 2010

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

Full work available at URL: https://doi.org/10.1016/j.geomphys.2009.09.010

zbMATH Keywords

second fundamental formLagrangian submanifoldtotally real submanifoldnearly Kähler six-sphere\(J\)-parallel

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Local submanifolds (53B25)

Related Items (4)

Lagrangian submanifolds in the 6-dimensional nearly Kähler manifolds with parallel second fundamental form ⋮ On Ricci curvature pinching of Lagrangian submanifolds in the homogeneous nearly Kähler \(\mathbb{S}^6(1)\) ⋮ Isotropic Lagrangian submanifolds in the homogeneous nearly Kähler \(\mathbb S^3\times\mathbb S^3\) ⋮ Rigidity theorems of Lagrangian submanifolds in the homogeneous nearly Kähler \(\mathbb{S}^6(1)\)

Cites Work

• Homogeneous totally real submanifolds of \(S^ 6\)
• A basic inequality and new characterization of Whitney spheres in a complex space form
• Quasi-Einstein totally real submanifolds of the nearly Kähler 6-sphere
• Classification of totally real 3-dimensional submanifolds of \(S^ 6(1)\) with K\(\geq 1/16\)
• Totally Real Submanifolds in a 6-Sphere
• Almost Complex Submanifolds of the Six Sphere

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