Local rigidity of minimal surfaces in a hyperquadric \(Q_2\)

DOI10.1016/j.geomphys.2018.05.017zbMath1398.53068OpenAlexW2885881863MaRDI QIDQ1788795

Jie Fei, Jun Wang

Publication date: 8 October 2018

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2018.05.017

zbMATH Keywords

Kähler anglesecond fundamental formrigidityhyperquadricminimal immersionfirst 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 (8)

A characterization of homogeneous holomorphic two-spheres in \(Q_n\) ⋮ Simons-type inequalities for minimal surfaces with constant Kähler angle in a complex hyperquadric ⋮ Totally real flat minimal surfaces in the hyperquadric ⋮ Rigidity of holomorphic curves in a hyperquadric \(Q_4\) ⋮ Superminimal surfaces in hyperquadric \(Q_2\) ⋮ Rigidity theorem for holomorphic curves in a hyperquadric \(Q_n\) ⋮ Pinching for holomorphic curves in a complex Grassmann manifold \(G(2,n;\mathbb{C})\) ⋮ Rigidity theorems for holomorphic curves in a complex Grassmann manifold G(3,6)

Cites Work

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• Conformal minimal two-spheres in \(Q_{n}\)
• On conformal minimal immersions of \(S^ 2\) into \({\mathbb{C}}P^ n\)
• On Cartan's method of Lie groups and moving frames as applied to uniqueness and existence questions in differential geometry
• Local rigidity of holomorphic curves in the complex Grassmann manifold \(G(2,6)\)
• Isometric imbedding of complex manifolds
• Minimal Surfaces by Moving Frames

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