Minimal surfaces in a complex hyperquadric \(Q _{2}\)

DOI10.1007/s00229-012-0554-1zbMath1263.53055OpenAlexW2005741191WikidataQ125886951 ScholiaQ125886951MaRDI QIDQ1942242

Jun Wang, Xiaoxiang Jiao

Publication date: 18 March 2013

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-012-0554-1

zbMATH Keywords

minimal surfacecomplex projective spacehyperquadric

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 (14)

Classification of conformal minimal immersions of constant curvature from \(S^2\) to \(Q_n\) ⋮ Classification of conformal minimal immersions of constant curvature from \(S^2\) to \(Q_3\) ⋮ Minimal two-spheres in \(G(2, 4; (C))\) with parallel second fundamental form ⋮ Totally real minimal surfaces in the complex hyperquadrics ⋮ Minimal surfaces in symmetric spaces with parallel second fundamental form ⋮ Simons-type inequalities for minimal surfaces with constant Kähler angle in a complex hyperquadric ⋮ On conformal minimal immersions with constant curvature from two-spheres into the complex hyperquadrics ⋮ A characterization of homogeneous totally real minimal two-spheres in a complex hyperquadric ⋮ Totally real conformal minimal tori in the hyperquadric \(Q_2\) ⋮ Superminimal surfaces in hyperquadric \(Q_2\) ⋮ Minimal two-spheres with constant curvature in the complex hyperquadric ⋮ Pinching for holomorphic curves in a complex Grassmann manifold \(G(2,n;\mathbb{C})\) ⋮ Minimal surfaces in the complex hyperquadric $Q_2$ II ⋮ On conformal minimal immersions of two-spheres in a complex hyperquadric with parallel second fundamental form

Cites Work

• Unnamed Item
• Conformal minimal two-spheres in \(Q_{n}\)
• Parallel submanifolds of complex projective space and their normal holonomy
• Parallel submanifolds in a quaternion projective space
• Minimal 2-spheres with constant curvature in \(P_ n({\mathbb C})\)
• On conformal minimal immersions of \(S^ 2\) into \({\mathbb{C}}P^ n\)
• Minimal surfaces with constant curvature and Kähler angle in complex space forms
• Symmetric submanifolds of Euclidean space
• Conformal minimal two-spheres in \(Q_2\)
• Minimal Surfaces by Moving Frames
• On Minimal Surfaces in a Kahler Manifold of Constant Holomorphic Sectional Curvature
• Pseudo-holomorphic curves in complex Grassmann manifolds
• On minimal surfaces of constant curvature in two-dimensional complex space form
• Submanifolds of Euclidean Space with Parallel Second Fundamental Form

This page was built for publication: Minimal surfaces in a complex hyperquadric \(Q _{2}\)