On minimal two-spheres immersed in complex Grassmann manifolds with parallel second fundamental form
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Publication:691041
DOI10.1007/s00605-012-0403-zzbMath1263.53054OpenAlexW2022884890MaRDI QIDQ691041
Publication date: 29 November 2012
Published in: Monatshefte für Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00605-012-0403-z
Kähler anglesecond fundamental formGauss curvatureconformal minimal immersioncomplex Grassmann manifold
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40)
Related Items (8)
Minimal two-spheres in \(G(2, 4; (C))\) with parallel second fundamental form ⋮ Minimal surfaces in symmetric spaces with parallel second fundamental form ⋮ Classification of homogeneous minimal immersions from \(S^2\) to \({\mathbb {H}}P^n\) ⋮ Totally real flat minimal surfaces in the hyperquadric ⋮ On conformal minimal immersions of \(S^2\) in \(HP^n\) with parallel second fundamental form ⋮ Classification of conformal minimal immersions of constant curvature from \(S^2\) to \(HP^2\) ⋮ On conformal minimal immersions of constant curvature from \(S^2\) to \(HP^n\) ⋮ On conformal minimal immersions of two-spheres in a complex hyperquadric with parallel second fundamental form
Cites Work
- Harmonic maps from \(S^ 2\) to \(G_{2,4}\)
- Minimal two-spheres in \(G(2,4)\)
- Harmonic maps of the two-sphere into a complex Grassmann manifold. II
- 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
- Constant curved minimal 2-spheres in \(G(2,4)\)
- Minimal 2-spheres in a complex projective space
- Minimal Surfaces by Moving Frames
- ON SOME CONFORMAL MINIMAL 2-SPHERES IN A COMPLEX PROJECTIVE SPACE
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