Minimal two-spheres in \(G(2, 4; (C))\) with parallel second fundamental form

DOI10.1134/S0001434617050157zbMath1375.30059OpenAlexW2641286174MaRDI QIDQ2401653

Mingyan Li, Xiaoxiang Jiao, Wen-juan Zhang

Publication date: 4 September 2017

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434617050157

zbMATH Keywords

Riemann sphereconformal minimal immersionparallel second fundamental formcomplex Grassmann manifold

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45)

Cites Work

• On conformal minimal immersions of \(S^2\) in \(HP^n\) with parallel second fundamental form
• On holomorphic curves in a complex Grassmann manifold \(G(2,n)\)
• On minimal two-spheres immersed in complex Grassmann manifolds with parallel second fundamental form
• Minimal two-spheres in \(G(2,4)\)
• Harmonic maps into Lie groups (classical solutions of the chiral model)
• On locally symmetric Kaehler submanifolds in a complex projective space
• Constant curved minimal 2-spheres in \(G(2,4)\)
• Minimal surfaces in a complex hyperquadric \(Q _{2}\)
• On the classification of homogeneous 2-spheres in complex Grassmannians
• Minimal Surfaces by Moving Frames
• The Riemannian geometry of superminimal surfaces in complex space forms
• ON SOME CONFORMAL MINIMAL 2-SPHERES IN A COMPLEX PROJECTIVE SPACE

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