Lagrangian submanifolds in complex projective space \(CP^n\)

DOI10.1007/s11464-012-0244-zzbMath1262.53074OpenAlexW2090089929MaRDI QIDQ1946978

Xiaoxiang Jiao, Chia-kuei Peng, Xiao-Wei Xu

Publication date: 10 April 2013

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-012-0244-z

zbMATH Keywords

second fundamental formLagrangian submanifoldMaurer-Cartan form

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Lagrangian submanifolds; Maslov index (53D12)

Cites Work

• Unnamed Item
• A proof of the DDVV conjecture and its equality case
• An intrinsic rigidity theorem for minimal submanifolds in a sphere
• Rigidity of compact minimal submanifolds in a unit sphere
• On Cartan's method of Lie groups and moving frames as applied to uniqueness and existence questions in differential geometry
• Smoothness theorems for the principal curvatures and principal vectors of a hypersurface
• Totally real minimal submanifolds in \(CP^ n\)
• Hamiltonian-minimal Lagrangian submanifolds in complex space forms
• Hamiltonian stationary Lagrangian surfaces in \(\mathbb C \mathbb{P}^{2}\)
• Examples of Hamiltonian stationary Lagrangian tori in \(\mathbb CP^2\)
• Minimal varieties in Riemannian manifolds
• Totally Real Minimal Immersions of n-Dimensional Real Space Forms into n-Dimensional Complex Space Forms
• An exotic totally real minimal immersion of S³ in ℂP³ and its characterisation
• Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length

This page was built for publication: Lagrangian submanifolds in complex projective space \(CP^n\)