Minimal surfaces in symmetric spaces with parallel second fundamental form

DOI10.1007/s12044-017-0352-5zbMath1377.53079OpenAlexW2741498613MaRDI QIDQ1680380

Xiaoxiang Jiao, Mingyan Li

Publication date: 15 November 2017

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-017-0352-5

zbMATH Keywords

Kähler anglesecond fundamental formsymmetric spaceGaussian curvatureisometric minimal immersion

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Differential geometry of symmetric spaces (53C35)

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
• Parallel submanifolds in a quaternion projective space
• Isotropic submanifolds with parallel second fundamental form in \(P^ m(\)c)
• On locally symmetric Kaehler submanifolds in a complex projective space
• Minimal surfaces in a complex hyperquadric \(Q _{2}\)
• Minimal Surfaces by Moving Frames
• Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length
• Submanifolds of Euclidean Space with Parallel Second Fundamental Form

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