Transverse \(J\)-holomorphic curves in nearly Kähler \(\mathbb{CP}^3\)

DOI10.1007/s10455-021-09806-0zbMath1492.53079arXiv2101.03845OpenAlexW3205913726MaRDI QIDQ2076536

Benjamin Aslan

Publication date: 22 February 2022

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.03845

zbMATH Keywords

Toda latticemoment maps\(J\)-holomorphic curvesmoving framesnearly Kähler manifolds

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Momentum maps; symplectic reduction (53D20) Other complex differential geometry (53C56)

Related Items (3)

Free-boundary problems for holomorphic curves in the 6-sphere ⋮ The second variation for null-torsion holomorphic curves in the 6-sphere ⋮ Special Lagrangians in nearly Kähler \(\mathbb{CP}^3\)

Cites Work

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• Pseudoholomorphic curves on nearly Kähler manifolds
• Locally homogeneous nearly Kähler manifolds
• New \(\mathrm{G}_2\)-holonomy cones and exotic nearly Kähler structures on \(S^6\) and \(S^3\times S^3\)
• Submanifolds and special structures on the octonians
• S\({}^ 1\)-equivariant minimal tori in \(S^ 4\) and \(S^ 1\)-equivariant Willmore tori in \(S^ 3\)
• Multi-moment maps
• Pseudo-holomorphic curves in nearly Kähler \(\mathbf {CP}^{3}\)
• Normal curvature of surfaces in space forms
• On surfaces in four-spaces
• Conformal and minimal immersions of compact surfaces into the 4-sphere
• The structure of nearly Kähler manifolds
• M-theory dynamics on a manifold of \(G_2\) holonomy
• Nearly Kähler geometry and Riemannian foliations.
• A circle quotient of a \(G_2\) cone
• Harmonic maps from a 2-torus to the 3-sphere
• Almost complex surfaces in the nearly Kähler \(S^3\times S^3\)
• Nearly Kähler six-manifolds with two-torus symmetry
• The multi-moment maps of the nearly Kähler \(S^3\times S^3\)
• Einstein manifolds
• Calibrated subbundles in noncompact manifolds of special holonomy
• Complete minimal surfaces in \(S^ 3\)
• Minimal submanifolds of low cohomogeneity
• Vector Bundles Over an Elliptic Curve
• UNIT KILLING VECTOR FIELDS ON NEARLY KÄHLER MANIFOLDS
• The space of almost complex 2-spheres in the 6-sphere

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