The Novikov-Veselov hierarchy of equations and integrable deformations of minimal Lagrangian tori in \({\mathbb C}P^2\)

zbMath1082.35136arXivmath/0607700MaRDI QIDQ2575543

Publication date: 12 December 2005

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0607700

zbMATH Keywords

Schrödinger operator integrable systems complex geometry Floquet spectrum

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25)

Related Items (9)

On a lower bound for the energy functional on a family of Hamiltonian minimal Lagrangian tori in \(\mathbb{C}P^2\) ⋮ An energy functional for Lagrangian tori in \(\mathbb {C}P^2\) ⋮ On minimal isotropic tori in \(\mathbb{C}P^3\) ⋮ Ruh-Vilms theorems for minimal surfaces without complex points and minimal Lagrangian surfaces in \(\mathbb{C}P^2\) ⋮ Minimal Lagrangian surfaces in \(\mathbb{C}P^2\) via the loop group method. I: The contractible case ⋮ Lagrangian surfaces in the complex hyperquadric \(Q_2\) ⋮ On the Schrödinger operator connected with a family of Hamiltonian-minimal Lagrangian surfaces in \(\mathbb{C}P^2\) ⋮ On a family of conformally flat minimal Lagrangian tori in \(\mathbb CP^{3}\) ⋮ Spectral data for Hamiltonian-minimal Lagrangian tori in \(\mathbb CP^{2}\)

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