Decomposition and minimality of Lagrangian submanifolds in nearly Kähler manifolds
From MaRDI portal
Publication:2269468
DOI10.1007/s10455-009-9181-9zbMath1189.53077arXiv0904.3683OpenAlexW2006752453MaRDI QIDQ2269468
Publication date: 16 March 2010
Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0904.3683
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Lagrangian submanifolds; Maslov index (53D12) Almost complex manifolds (32Q60)
Related Items
Properties of the nearly kähler S3×S3 ⋮ Lagrangian submanifolds in the 6-dimensional nearly Kähler manifolds with parallel second fundamental form ⋮ On Lagrangian submanifolds of the nearly Kaehler 6-sphere ⋮ An optimal pinching theorem of minimal Legendrian submanifolds in the unit sphere ⋮ Lagrangian submanifolds in the homogeneous nearly Kähler \({\mathbb {S}}^3 \times {\mathbb {S}}^3\) ⋮ Almost complex submanifolds of nearly Kähler manifolds ⋮ A characterization of minimal Lagrangian submanifolds of the nearly Kähler \(G \times G\) ⋮ Isotropic Lagrangian submanifolds in the homogeneous nearly Kähler \(\mathbb S^3\times\mathbb S^3\) ⋮ Generalized Killing spinors and Lagrangian graphs ⋮ Almost contact Lagrangian submanifolds of nearly Kähler 6-sphere ⋮ Lagrangian submanifolds with constant angle functions of the nearly Kähler \(\mathbb{S}^3 \times \mathbb{S}^3\) ⋮ Lagrangian submanifolds in strict nearly Kähler 6-manifolds ⋮ Rigidity theorems of Lagrangian submanifolds in the homogeneous nearly Kähler \(\mathbb{S}^6(1)\) ⋮ Lagrangian submanifolds of the nearly Kähler 6-sphere and Chen’s equality ⋮ Pseudo-holomorphic curves in nearly Kähler manifolds ⋮ Lagrangian submanifolds of the nearly Kähler 𝕊3 × 𝕊3 from minimal surfaces in 𝕊3 ⋮ Special Lagrangians in nearly Kähler \(\mathbb{CP}^3\)
Cites Work
- Unnamed Item
- On the structure of nearly pseudo-Kähler manifolds
- On nearly-Kähler geometry
- Deformations of nearly Kähler structures
- The structure of nearly Kähler manifolds
- Einstein metrics via intrinsic or parallel torsion
- Parallel spinors and connections with skew-symmetric torsion in string theory.
- Nearly Kähler geometry and Riemannian foliations.
- Riemannian manifolds with geodesic symmetries of order 3
- Flat nearly Kähler manifolds
- Classification des variété Classification of homogeneous nearly Kähler manifolds approximativement Kähleriennes homogénes
- Homogeneous spaces defined by Lie group automorphisms. II
- Some theorems on almost Kählerian spaces
- Nearly Kähler manifolds
- Deformations of generalized calibrations and compact non-Kähler manifolds with vanishing first Chern class
- Totally Real Submanifolds in a 6-Sphere
- SPECIAL LAGRANGIAN SUBMANIFOLDS OF THE NEARLY KAEHLER 6-SPHERE
- Nearly pseudo-K\"ahler and nearly para-K\"ahler six-manifolds
- Totally real totally geodesic submanifolds of compact 3-symmetric spaces
- Nearly Kähler 6-manifolds with reduced holonomy
- On totally real submanifolds in a nearly Kähler manifold
