Holomorphic curves in the complex quadric

DOI10.1017/S0004972700013095zbMath0604.32010OpenAlexW2171621862MaRDI QIDQ3741906

Kichoon Yang, Marco Rigoli, Gary R. Jensen

Publication date: 1987

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700013095

zbMATH Keywords

singular pointsholomorphic curvesbranch pointscomplex quadricreal pointsisotropic points

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Complex manifolds (32Q99) Complex singularities (32Sxx)

Related Items (6)

A characterization of homogeneous holomorphic two-spheres in \(Q_n\) ⋮ Totally real flat minimal surfaces in the hyperquadric ⋮ Rigidity of holomorphic curves in a hyperquadric \(Q_4\) ⋮ Willmore surfaces in the four-sphere ⋮ Minimal two-spheres with constant curvature in \(\mathbb{H} \mathrm{P}^n\) ⋮ Rigidity theorem for holomorphic curves in a hyperquadric \(Q_n\)

Cites Work

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• Harmonic maps from surfaces to complex projective spaces
• Harmonic maps of S ² into a complex Grassmann manifold
• On Minimal Immersions of S 2 Into S 2m

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