Calabi product Lagrangian immersions in complex projective space and complex hyperbolic space

DOI10.1007/s00025-011-0107-zzbMath1229.53022arXiv1010.0956OpenAlexW2130547588MaRDI QIDQ545507

Haizhong Li, Xian Feng Wang

Publication date: 22 June 2011

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.0956

zbMATH Keywords

composition theoremLagrangian immersions

Mathematics Subject Classification ID

Lagrangian submanifolds; Maslov index (53D12) Local submanifolds (53B25) Local Riemannian geometry (53B20)

Related Items

Characterization of warped product Lagrangian submanifolds in \(\mathbb{C}^n\) ⋮ Minimal Legendrian submanifolds of $\mathbb S^{9}$ with nonnegative sectional curvature ⋮ Conformally flat, minimal, Lagrangian submanifolds in complex space forms ⋮ An optimal inequality related to characterizations of the contact Whitney spheres in Sasakian space forms ⋮ On product minimal Lagrangian submanifolds in complex space forms ⋮ On \(C\)-totally real submanifolds of \(\mathbb{S}^{2n+1}(1)\) with non-negative sectional curvature ⋮ Rigidity of closed CSL submanifolds in the unit sphere ⋮ Minimal Legendrian submanifolds in Sasakian space forms with \(C\)-parallel second fundamental form ⋮ A new characterization of Calabi composition of hyperbolic affine hyperspheres ⋮ On the isolation phenomena of locally conformally flat manifolds with constant scalar curvature -- submanifolds versions ⋮ On \(C\)-totally real minimal submanifolds of the Sasakian space forms with parallel Ricci tensor ⋮ On the isolation phenomena of Einstein manifolds—submanifolds versions ⋮ A new characterization of the Berger sphere in complex projective space

Cites Work

• Unnamed Item
• Isotropic submanifolds with parallel second fundamental form in \(P^ m(\)c)
• Interaction of Legendre curves and Lagrangian submanifolds
• Hamiltonian-minimal Lagrangian submanifolds in complex space forms
• Characterizations of the Calabi product of hyperbolic affine hyperspheres
• Warped product minimal Lagrangian immersions in complex projective space
• Characterizing warped-product Lagrangian immersions in complex projective space
• On Totally Real Submanifolds