Conformal minimal two-spheres in \(Q_{n}\)

DOI10.1007/S11425-011-4179-8zbMath1218.53067OpenAlexW2023127695MaRDI QIDQ547401

Xiaoxiang Jiao, Jun Wang

Publication date: 1 July 2011

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-011-4179-8

zbMATH Keywords

Kähler angletotally geodesicGaussian curvaturecomplex hyperquadricminimal immersion

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 (14)

A characterization of homogeneous holomorphic two-spheres in \(Q_n\) ⋮ Totally real minimal surfaces in the complex hyperquadrics ⋮ Simons-type inequalities for minimal surfaces with constant Kähler angle in a complex hyperquadric ⋮ Rigidity of holomorphic curves in a hyperquadric \(Q_4\) ⋮ A characterization of homogeneous totally real minimal two-spheres in a complex hyperquadric ⋮ Minimal surfaces in a complex hyperquadric \(Q _{2}\) ⋮ Conformal minimal two-spheres in \(Q_2\) ⋮ Totally real conformal minimal tori in the hyperquadric \(Q_2\) ⋮ Structure of minimal 2-spheres of constant curvature in the complex hyperquadric ⋮ Superminimal surfaces in hyperquadric \(Q_2\) ⋮ Local rigidity of minimal surfaces in a hyperquadric \(Q_2\) ⋮ Minimal two-spheres with constant curvature in the complex hyperquadric ⋮ Rigidity theorem for holomorphic curves in a hyperquadric \(Q_n\) ⋮ Minimal surfaces in the complex hyperquadric $Q_2$ II

Cites Work

• Harmonic maps of the two-sphere into the complex hyperquadric
• On conformal minimal immersions of \(S^ 2\) into \({\mathbb{C}}P^ n\)
• Minimal 2-spheres in a complex projective space
• Minimal Surfaces by Moving Frames
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