Lagrangian Bonnet pairs in $\mathbb CP^2$

DOI10.1090/S0002-9939-09-09890-6zbMath1173.53024OpenAlexW1491669904MaRDI QIDQ5322867

Hui Ma, Hui Xia He

Publication date: 23 July 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-09-09890-6

zbMATH Keywords

Lagrangian immersionHopf differentialcomplex projective planeBonnet pairs

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Lagrangian submanifolds; Maslov index (53D12)

Related Items (2)

Minimal surfaces in spheres and a Ricci-like condition ⋮ Lagrangian Bonnet Problems in complex space forms

Cites Work

• Harmonic maps from surfaces to complex projective spaces
• On the mean curvature function for compact surfaces
• Bonnet pairs and isothermic surfaces
• Hamiltonian stationary Lagrangian surfaces in \(\mathbb C \mathbb{P}^{2}\)
• Examples of Hamiltonian stationary Lagrangian tori in \(\mathbb CP^2\)
• Second variation and stabilities of minimal Lagrangian submanifolds in Kähler manifolds
• Minimal Surfaces by Moving Frames
• A characterization of tori with constant mean curvature in space form
• On twistor harmonic surfaces in the complex projective plane
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