Lagrangian submanifolds of the nearly Kähler 𝕊3 × 𝕊3 from minimal surfaces in 𝕊3

DOI10.1017/prm.2018.43zbMath1419.53021arXiv1611.03998OpenAlexW2907700140MaRDI QIDQ4968772

Marilena Moruz, Joeri Van der Veken, Burcu Bektaş, Luc Vrancken

Publication date: 9 July 2019

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.03998

zbMATH Keywords

Lagrangian submanifoldsminimal surfaces\(\mathbb{S}^{3}\)nearly Kähler \(\mathbb{S}^{3}\times\mathbb{S}^{3}\)

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Lagrangian submanifolds; Maslov index (53D12) Local submanifolds (53B25)

Related Items

Properties of the nearly kähler S3×S3 ⋮ On Hopf hypersurfaces of the homogeneous nearly Kähler \(\mathbf{S}^3\times \mathbf{S}^3\). II ⋮ On Hopf hypersurfaces of the homogeneous nearly Kähler \(S^3 \times S^3\) ⋮ A characterization of minimal Lagrangian submanifolds of the nearly Kähler \(G \times G\) ⋮ Lagrangian submanifolds of the nearly Kähler full flag manifold \(F_{1 , 2} ( \mathbb{C}^3 )\) ⋮ Unnamed Item ⋮ Three-dimensional CR submanifolds of the nearly Kähler \(\mathbb {S}^3\times \mathbb {S}^3\) ⋮ On the nonexistence and rigidity for hypersurfaces of the homogeneous nearly Kähler \(\mathbb{S}^3\times\mathbb{S}^3\) ⋮ Special Lagrangians in nearly Kähler \(\mathbb{CP}^3\)

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