Pseudo-holomorphic curves in complex Grassmann manifolds
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Publication:4417285
DOI10.1090/S0002-9947-03-03244-6zbMath1065.53050MaRDI QIDQ4417285
Publication date: 28 July 2003
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Global differential geometry of Hermitian and Kählerian manifolds (53C55) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Pseudoholomorphic curves (32Q65)
Related Items
On non-\(\pm\)holomorphic conformal minimal two-spheres in a complex Grassmannian \(G(2,5)\) with constant curvature ⋮ On conformal minimal 2-spheres in complex Grassmann manifold \(G(2,n)\) ⋮ Homogeneity-preserving property of harmonic sequences from surfaces into complex Grassmann manifolds ⋮ Minimal surfaces in a complex hyperquadric \(Q _{2}\) ⋮ Minimal two-spheres with constant curvature in the complex Grassmannians ⋮ Pseudo-holomorphic curves of constant curvature in complex Grassmannians ⋮ Classification of minimal homogeneous two-spheres in the complex Grassmann manifold \(G(2, n)\) ⋮ Holomorphic two-spheres in complex Grassmann manifold \(G(2, 4)\) ⋮ On holomorphic curves in a complex Grassmann manifold \(G(2,n)\) ⋮ On pseudo-holomorphic curves from two-spheres into a complex Grassmannian \(G(2,5)\) ⋮ Constant curvature surfaces of the supersymmetric ℂP N−1 sigma model ⋮ Minimal two-spheres in \(G(2,4)\) ⋮ Minimal two-spheres with constant curvature in the complex hyperquadric ⋮ General solutions of the supersymmetric ℂP2 sigma model and its generalisation to ℂP N−1
Cites Work
- Harmonic maps of the two-sphere into a complex Grassmann manifold. II
- On conformal minimal immersions of \(S^ 2\) into \({\mathbb{C}}P^ n\)
- Harmonic sequences and harmonic maps of surfaces into complex Grassmannian manifolds
- Harmonic maps into Lie groups (classical solutions of the chiral model)
- Isometric imbedding of complex manifolds
- Minimal Surfaces by Moving Frames
- Rigidity of Pseudo-Holomorphic Curves of Constant Curvature in Grassmann Manifolds
- Quantization of Curvature of Harmonic Two-Spheres in Grassmann Manifolds
- The riemannian geometry of holomorphic curves
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