Classification of conformal minimal immersions of constant curvature from \(S^2\) to \(Q_n\)

DOI10.1007/s10231-016-0605-4zbMath1369.53043OpenAlexW2508986767MaRDI QIDQ2362874

Xiaoxiang Jiao, Mingyan Li

Publication date: 14 July 2017

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-016-0605-4

zbMATH Keywords

classificationsecond fundamental formGauss curvatureconformal minimal immersioncomplex hyperquadric

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 (7)

Rigidity of conformal minimal immersions of constant curvature from \(S^2\) to \(Q_4\) ⋮ On conformal minimal immersions with constant curvature from two-spheres into the complex hyperquadrics ⋮ Totally real flat minimal surfaces in the hyperquadric ⋮ A characterization of homogeneous totally real minimal two-spheres in a complex hyperquadric ⋮ Diagrams and harmonic maps, revisited ⋮ Structure of minimal 2-spheres of constant curvature in the complex hyperquadric ⋮ Conformal minimal immersions with constant curvature from \(S^2\) to \(Q_{5}\)

Cites Work

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• On the Construction of Harmonic Maps into a Grassmannian
• On minimal surfaces of constant curvature in two-dimensional complex space form

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