Lagrangian Bonnet Problems in complex space forms

DOI10.1007/s10114-019-8102-5zbMath1423.53069arXiv1503.08566OpenAlexW2941092398WikidataQ128023506 ScholiaQ128023506MaRDI QIDQ2273239

Hui Xia He, Erxiao Wang, Hui Ma

Publication date: 18 September 2019

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.08566

zbMATH Keywords

Lagrangian submanifoldscomplex space formsBonnet pairsMaslov form

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 ⋮ The Bonnet problem for harmonic maps to the three-sphere

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Bonnet surfaces and isothermic surfaces
• Harmonic maps from surfaces to complex projective spaces
• The Bonnet problem for surfaces in homogeneous 3-manifolds
• Lagrangian submanifolds of \(C^n\) with conformal Maslov form and the Whitney sphere
• On the mean curvature function for compact surfaces
• Lagrangian surfaces in the complex Euclidean plane with conformal Maslov form
• Painlevé equations in the differential geometry of surfaces
• Compact surfaces with no Bonnet mate
• Totally real minimal tori in \(\mathbb CP^2\)
• Closed conformal vector fields and Lagrangian submanifolds in complex space forms.
• Twistor holomorphic Lagrangian surfaces in the complex projective and hyperbolic planes
• Bonnet pairs and isothermic surfaces
• Hamiltonian stationary Lagrangian surfaces in \(\mathbb C \mathbb{P}^{2}\)
• Second variation and stabilities of minimal Lagrangian submanifolds in Kähler manifolds
• Isometric surfaces with a common mean curvature and the problem of Bonnet pairs
• On the Number of Distinct Isometric Immersions of a Riemannian Surface Into R 3 with Given Mean Curvature
• Minimal Surfaces by Moving Frames
• A characterization of tori with constant mean curvature in space form
• Sur la géométrie des sous-fibrés et des feuilletages lagrangiens
• On twistor harmonic surfaces in the complex projective plane
• Lagrangian Bonnet pairs in $\mathbb CP^2$

This page was built for publication: Lagrangian Bonnet Problems in complex space forms