Holomorphic two-spheres in complex Grassmann manifold \(G(2, 4)\)

DOI10.1007/S12044-008-0030-8zbMath1154.53033OpenAlexW2090243397WikidataQ125993580 ScholiaQ125993580MaRDI QIDQ949460

Xiaoxiang Jiao, Xiao-Wei Xu

Publication date: 21 October 2008

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-008-0030-8

zbMATH Keywords

Gaussian curvaturecomplex Grassmann manifolddegenerate and non-degenerate submanifoldtwo sphere

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Global submanifolds (53C40)

Related Items (3)

On conformal minimal 2-spheres in complex Grassmann manifold \(G(2,n)\) ⋮ Holomorphic two-spheres in the complex Grassmann manifold \(G(k, n)\) ⋮ On pseudo-holomorphic curves from two-spheres into a complex Grassmannian \(G(2,5)\)

Cites Work

• Harmonic maps of the two-sphere into a complex Grassmann manifold. II
• Higher order contact of submanifolds of homogeneous spaces
• Classification of holomorphic spheres of constant curvature in complex Grassmann manifold \(\mathbf G_{2,5}\)
• 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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