On conformal minimal immersions of two-spheres in a complex hyperquadric with parallel second fundamental form

DOI10.1007/s12220-014-9544-8zbMath1335.53077OpenAlexW2129703866MaRDI QIDQ254250

Xiaoxiang Jiao, Mingyan Li

Publication date: 8 March 2016

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-014-9544-8

zbMATH Keywords

classificationcomplex hyperquadricminimal 2-sphereparallel second fundamental form

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 (3)

Classification of conformal minimal immersions of constant curvature from \(S^2\) to \(Q_n\) ⋮ Rigidity of conformal minimal immersions of constant curvature from \(S^2\) to \(Q_4\) ⋮ Totally real flat minimal surfaces in the hyperquadric

Cites Work

• On conformal minimal immersions of \(S^2\) in \(HP^n\) with parallel second fundamental form
• On minimal two-spheres immersed in complex Grassmann manifolds with parallel second fundamental form
• 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)
• On locally symmetric Kaehler submanifolds in a complex projective space
• Minimal surfaces in a complex hyperquadric \(Q _{2}\)
• The explicit construction of all harmonic two-spheres in G2 (Rn).
• On the Construction of Harmonic Maps into a Grassmannian
• ON SOME CONFORMAL MINIMAL 2-SPHERES IN A COMPLEX PROJECTIVE SPACE

This page was built for publication: On conformal minimal immersions of two-spheres in a complex hyperquadric with parallel second fundamental form