On conformal minimal immersions with constant curvature from two-spheres into the complex hyperquadrics

DOI10.1007/S13226-022-00308-8OpenAlexW4294237844WikidataQ114220127 ScholiaQ114220127MaRDI QIDQ6067734

Xiaoxiang Jiao, Hong Li

Publication date: 14 December 2023

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-022-00308-8

zbMATH Keywords

constant curvaturelinearly fullisotropy orderconformal minimal surface

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Cites Work

• Classification of conformal minimal immersions of constant curvature from \(S^2\) to \(Q_3\)
• Totally real minimal surfaces in the complex hyperquadrics
• Minimal two-spheres with constant curvature in the complex hyperquadric
• Pseudo-holomorphic curves of constant curvature in complex Grassmannians
• Minimal two-spheres in \(G(2,4)\)
• The construction of harmonic maps into complex Grassmannians
• Harmonic maps of the two-sphere into the complex hyperquadric
• On conformal minimal immersions of \(S^ 2\) into \({\mathbb{C}}P^ n\)
• Harmonic maps into Lie groups (classical solutions of the chiral model)
• Minimal surfaces in a complex hyperquadric \(Q _{2}\)
• Conformal minimal immersions with constant curvature from \(S^2\) to \(Q_{5}\)
• Classification of conformal minimal immersions of constant curvature from \(S^2\) to \(Q_n\)
• Minimal immersions of surfaces in Euclidean spheres
• The explicit construction of all harmonic two-spheres in G2 (Rn).
• Harmonic Mappings of Riemannian Manifolds

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