Special Lagrangians in nearly Kähler \(\mathbb{CP}^3\)

DOI10.1016/j.geomphys.2022.104713OpenAlexW4310806115MaRDI QIDQ2111041

Benjamin Aslan

Publication date: 23 December 2022

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

Full work available at URL: https://arxiv.org/abs/2208.00421

zbMATH Keywords

Lagrangian submanifoldsmoment mapsangle functionmoving framesnearly Kähler manifolds

Mathematics Subject Classification ID

Local differential geometry of Hermitian and Kählerian structures (53B35) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Lagrangian submanifolds; Maslov index (53D12)

Related Items (1)

Free-boundary problems for holomorphic curves in the 6-sphere

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Lagrangian submanifolds in the 6-dimensional nearly Kähler manifolds with parallel second fundamental form
• Locally homogeneous nearly Kähler manifolds
• New \(\mathrm{G}_2\)-holonomy cones and exotic nearly Kähler structures on \(S^6\) and \(S^3\times S^3\)
• Pseudo-holomorphic curves in nearly Kähler \(\mathbf {CP}^{3}\)
• On the geometry of almost complex 6-manifolds
• Deformations of nearly Kähler structures
• Calibrated geometries
• Equivariant CR minimal immersions from \(S^3\) into \(\mathbb CP^n\)
• Deformations of homogeneous associative submanifolds in nearly parallel \(G_2\)-manifolds
• Homogeneous nearly Kähler manifolds
• Nearly Kähler geometry and Riemannian foliations.
• A note on Lagrangian submanifolds of twistor spaces and their relation to superminimal surfaces
• Transverse \(J\)-holomorphic curves in nearly Kähler \(\mathbb{CP}^3\)
• Lagrangian submanifolds of the nearly Kähler full flag manifold \(F_{1 , 2} ( \mathbb{C}^3 )\)
• Decomposition and minimality of Lagrangian submanifolds in nearly Kähler manifolds
• Lagrangian submanifolds in strict nearly Kähler 6-manifolds
• Closed forms and multi-moment maps
• Nearly Kähler six-manifolds with two-torus symmetry
• The multi-moment maps of the nearly Kähler \(S^3\times S^3\)
• Nearly Kähler manifolds
• Ruled Lagrangian submanifolds of the 6-sphere
• Universal subspaces for compact Lie groups
• Second variation of superminimal surfaces into self-dual Einstein four-manifolds
• SPECIAL LAGRANGIAN SUBMANIFOLDS OF THE NEARLY KAEHLER 6-SPHERE
• Second-Order deformations of associative submanifolds in nearly parallel G2-manifolds
• Lagrangian submanifolds of the nearly Kähler 𝕊3 × 𝕊3 from minimal surfaces in 𝕊3

This page was built for publication: Special Lagrangians in nearly Kähler \(\mathbb{CP}^3\)