On pseudo-holomorphic curves from two-spheres into a complex Grassmannian \(G(2,5)\)

DOI10.1007/s10114-010-7262-0zbMath1192.53059OpenAlexW2098191902MaRDI QIDQ966560

Xiaoxiang Jiao

Publication date: 23 April 2010

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-010-7262-0

zbMATH Keywords

Kähler angleGaussian curvatureharmonic sequencepseudo-holomorphic curvescomplex Grassmann manifold \(G(2,5)\)

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Pseudoholomorphic curves (32Q65)

Related Items (2)

Rigidity of holomorphic curves of constant curvature in \(G(2,5)\) ⋮ On holomorphic curves in a complex Grassmann manifold \(G(2,n)\)

Cites Work

• Harmonic maps from surfaces to complex projective spaces
• Harmonic maps from \(S^ 2\) to \(G_{2,4}\)
• Holomorphic two-spheres in complex Grassmann manifold \(G(2, 4)\)
• Harmonic maps of the two-sphere into a complex Grassmann manifold. II
• On conformal minimal immersions of \(S^ 2\) into \({\mathbb{C}}P^ n\)
• Classification of holomorphic spheres of constant curvature in complex Grassmann manifold \(\mathbf G_{2,5}\)
• Isometric imbedding of complex manifolds
• Minimal Surfaces by Moving Frames
• Rigidity of Pseudo-Holomorphic Curves of Constant Curvature in Grassmann Manifolds
• Pseudo-holomorphic curves in complex Grassmann manifolds

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