Lagrangian submanifolds of the nearly Kähler 𝕊3 × 𝕊3 from minimal surfaces in 𝕊3
From MaRDI portal
Publication:4968772
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
Lagrangian submanifoldsminimal surfaces\(\mathbb{S}^{3}\)nearly Kähler \(\mathbb{S}^{3}\times\mathbb{S}^{3}\)
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 \(\mathbb{CP}^3\)
Cites Work
- Unnamed Item
- Lagrangian submanifolds in the 6-dimensional nearly Kähler manifolds with parallel second fundamental form
- Generalized Killing spinors and Lagrangian graphs
- Locally homogeneous nearly Kähler manifolds
- New \(\mathrm{G}_2\)-holonomy cones and exotic nearly Kähler structures on \(S^6\) and \(S^3\times S^3\)
- On nearly-Kähler geometry
- Partial differential equations. 3rd ed
- Killing vector fields and Lagrangian submanifolds of the nearly Kaehler \(S^6\)
- Calibrations and Lagrangian submanifolds in the six sphere
- Lagrangian submanifolds in the homogeneous nearly Kähler \({\mathbb {S}}^3 \times {\mathbb {S}}^3\)
- Lagrangian submanifolds with constant angle functions of the nearly Kähler \(\mathbb{S}^3 \times \mathbb{S}^3\)
- Nearly Kähler geometry and Riemannian foliations.
- Structure theorems on Riemannian spaces satisfying \(R(X,Y)\cdot R=0\). I: The local version
- Decomposition and minimality of Lagrangian submanifolds in nearly Kähler manifolds
- Almost complex surfaces in the nearly Kähler \(S^3\times S^3\)
- Nearly Kähler manifolds
- Deformations of generalized calibrations and compact non-Kähler manifolds with vanishing first Chern class
- Classification of totally real 3-dimensional submanifolds of \(S^ 6(1)\) with K\(\geq 1/16\)
- Ruled Lagrangian submanifolds of the 6-sphere
- Equivariant Minimal Immersions of S 2 into S 2m (1)
- Totally Real Submanifolds in a 6-Sphere
- SPECIAL LAGRANGIAN SUBMANIFOLDS OF THE NEARLY KAEHLER 6-SPHERE
- Totally real submanifolds in $S^6(1)$ satisfying Chen’s equality
