Isotropic Lagrangian submanifolds in the homogeneous nearly Kähler \(\mathbb S^3\times\mathbb S^3\)

DOI10.1007/S11425-016-0288-0zbMath1390.53016arXiv1607.04061OpenAlexW3122461250MaRDI QIDQ1708056

YinShan Zhang, Ze-Jun Hu

Publication date: 4 April 2018

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.04061

zbMATH Keywords

totally geodesicLagrangian submanifoldisotropic submanifold\(J\)-parallelnearly Kähler \(\mathbb S^3\times\mathbb S^3\)

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Local differential geometry of Hermitian and Kählerian structures (53B35) Lagrangian submanifolds; Maslov index (53D12)

Related Items (5)

On Hopf hypersurfaces of the homogeneous nearly Kähler \(\mathbf{S}^3\times \mathbf{S}^3\). II ⋮ On Hopf hypersurfaces of the homogeneous nearly Kähler \(S^3 \times S^3\) ⋮ Unnamed Item ⋮ 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 \(\mathbb{S}^6(1)\)

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