On holomorphic curves in a complex Grassmann manifold \(G(2,n)\)

DOI10.1007/s00013-011-0231-8zbMath1215.53054OpenAlexW2028771442MaRDI QIDQ535132

Xiaoxiang Jiao, Yan Yu

Publication date: 11 May 2011

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-011-0231-8

zbMATH Keywords

holomorphic curvespinchingGaussian curvatureharmonic sequence

Mathematics Subject Classification ID

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

Related Items (2)

Minimal two-spheres in \(G(2, 4; (C))\) with parallel second fundamental form ⋮ Rigidity of holomorphic curves of constant curvature in \(G(2,5)\)

Cites Work

• Pseudo-holomorphic curves of constant curvature in complex Grassmannians
• On pseudo-holomorphic curves from two-spheres into a complex Grassmannian \(G(2,5)\)
• Harmonic maps of the two-sphere into a complex Grassmann manifold. II
• On conformal minimal immersions of \(S^ 2\) into \({\mathbb{C}}P^ n\)
• Isometric imbedding of complex manifolds
• A Rigidity Result for Holomorphic Immersions of Surfaces in C P n
• Rigidity of Pseudo-Holomorphic Curves of Constant Curvature in Grassmann Manifolds
• Quantization of Curvature of Harmonic Two-Spheres in Grassmann Manifolds
• Pseudo-holomorphic curves in complex Grassmann manifolds

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