On the Schrödinger operator connected with a family of Hamiltonian-minimal Lagrangian surfaces in \(\mathbb{C}P^2\)

DOI10.1134/S0037446616060148zbMath1361.53067OpenAlexW2564158941MaRDI QIDQ515497

B. T. Saparbayeva

Publication date: 16 March 2017

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446616060148

zbMATH Keywords

Lagrangian surfaceHamiltonian-minimal

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Global submanifolds (53C40) Lagrangian submanifolds; Maslov index (53D12)

Cites Work

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• Generalized Lawson tori and Klein bottles
• Intersections of quadrics, moment-angle manifolds, and Hamiltonian-minimal Lagrangian embeddings
• The classification of Hamiltonian stationary Lagrangian tori in \({{\mathbb {CP}}^2}\) by their spectral data
• Integration of nonlinear equations by the methods of algebraic geometry
• Volume minimization of Lagrangian submanifolds under Hamiltonian deformations
• Hamiltonian stationary Lagrangian surfaces in \(\mathbb C \mathbb{P}^{2}\)
• The Novikov-Veselov hierarchy of equations and integrable deformations of minimal Lagrangian tori in \({\mathbb C}P^2\)
• New examples of Hamilton-minimal and minimal Lagrangian manifolds in $ \mathbb C^n$ and $ \mathbb C\mathrm P^n$
• Spectral Properties of a Family of Minimal Tori of Revolution in the Five-dimensional Sphere

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