Simons-type inequalities for minimal surfaces with constant Kähler angle in a complex hyperquadric

DOI10.1016/j.difgeo.2023.102001zbMath1522.53007OpenAlexW4327630164MaRDI QIDQ6044449

Jun Wang, Jie Fei, Xiaoxiang Jiao

Publication date: 19 May 2023

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2023.102001

zbMATH Keywords

minimal surfaceshyperquadricsSimons-type inequality

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Kähler manifolds (32Q15) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Projective differential geometry (53A20)

Related Items (2)

A characterization of homogeneous totally real minimal two-spheres in a complex hyperquadric ⋮ Pinching for holomorphic curves in a complex Grassmann manifold \(G(2,n;\mathbb{C})\)

Cites Work

• Unnamed Item
• Classification of conformal minimal immersions of constant curvature from \(S^2\) to \(Q_3\)
• Conformal minimal two-spheres in \(Q_{n}\)
• Minimal two-spheres with constant curvature in the complex hyperquadric
• Local rigidity of minimal surfaces in a hyperquadric \(Q_2\)
• Compact complex submanifolds immersed in complex projective spaces
• Minimal surfaces in a complex hyperquadric \(Q _{2}\)
• Rigidity theorem for holomorphic curves in a hyperquadric \(Q_n\)
• Conformal minimal immersions with constant curvature from \(S^2\) to \(Q_{5}\)
• Rigidity of holomorphic curves in a hyperquadric \(Q_4\)
• Totally real conformal minimal tori in the hyperquadric \(Q_2\)
• Local rigidity theorems for minimal hypersurfaces
• Minimal varieties in Riemannian manifolds
• A characterization of homogeneous holomorphic two-spheres in \(Q_n\)
• Minimal Surfaces by Moving Frames
• Complex submanifolds of the complex projective space with second fundamental form of constant length
• Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length

This page was built for publication: Simons-type inequalities for minimal surfaces with constant Kähler angle in a complex hyperquadric