The Novikov-Veselov hierarchy of equations and integrable deformations of minimal Lagrangian tori in CP^2

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dc.creatorMironov, A. E.
dc.date2006-07-27
dc.date.accessioned2026-07-07T07:21:01Z
dc.date.available2026-07-07T07:21:01Z
dc.descriptionWe associate a periodic two-dimensional Schrodinger operator to every Lagrangian torus in CP^2 and define the spectral curve of a torus as the Floquet spectrum of this operator on the zero energy level. In this event minimal Lagrangian tori correspond to potential operators. We show that Novikov-Veselov hierarchy of equations induces integrable deformations of minimal Lagrangian torus in CP^2 preserving the spectral curve. We also show that the highest flows on the space of smooth periodic solutions of the Tzizeica equation are given by the Novikov-Veselov hierarchy.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/math/0607700
dc.identifierhttp://arxiv.org/abs/math/0607700
dc.identifierSiberian Electronic Mathematical Reports. 2004. V. 1. P. 38-46
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115158
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.titleThe Novikov-Veselov hierarchy of equations and integrable deformations of minimal Lagrangian tori in CP^2
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