Rigidity theorem for holomorphic curves in a hyperquadric \(Q_n\)

DOI10.1007/s00229-020-01229-8zbMath1469.53105OpenAlexW3045366570MaRDI QIDQ2038394

Jun Wang, Jie Fei

Publication date: 6 July 2021

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-020-01229-8

zbMATH Keywords

Kähler anglesecond fundamental formRiemann surfacecovariant derivativeholomorphic immersions

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

Simons-type inequalities for minimal surfaces with constant Kähler angle in a complex hyperquadric ⋮ Rigidity theorems for holomorphic curves in a complex Grassmann manifold G(3,6)

Cites Work

• Classification of conformal minimal immersions of constant curvature from \(S^2\) to \(Q_3\)
• Conformal minimal two-spheres in \(Q_{n}\)
• Minimal two-spheres with constant curvature in the complex hyperquadric
• On conformal minimal immersions of \(S^ 2\) into \({\mathbb{C}}P^ n\)
• On Cartan's method of Lie groups and moving frames as applied to uniqueness and existence questions in differential geometry
• Local rigidity of minimal surfaces in a hyperquadric \(Q_2\)
• Local rigidity of holomorphic curves in the complex Grassmann manifold \(G(2,6)\)
• Rigidity of holomorphic curves in a hyperquadric \(Q_4\)
• Isometric imbedding of complex manifolds
• A characterization of homogeneous holomorphic two-spheres in \(Q_n\)
• Holomorphic curves in the complex quadric
• Rigidity of Pseudo-Holomorphic Curves of Constant Curvature in Grassmann Manifolds

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