Curve Flows and Solitonic Hierarchies Generated by (Semi) Riemannian Metrics

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dc.creatorVacaru, Sergiu I.
dc.date2006-08-09
dc.date.accessioned2026-07-07T07:20:37Z
dc.date.available2026-07-07T07:20:37Z
dc.descriptionWe investigate bi-Hamiltonian structures and related mKdV hierarchy of solitonic equations generated by (semi) Riemannian metrics and curve flow of non-stretching curves. The corresponding nonholonomic tangent space geometry is defined by canonically induced nonlinear connections, Sasaki type metrics and linear connections. One yields couples of generalized sine-Gordon equations when the corresponding geometric curve flows result in hierarchies on the tangent bundle described in explicit form by nonholonomic wave map equations and mKdV analogs of the Schrodinger map equation.
dc.description39 pages, latex2e
dc.identifierhttps://arxiv.org/abs/math-ph/0608024
dc.identifierhttp://arxiv.org/abs/math-ph/0608024
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115010
dc.subjectMathematical Physics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.subject37K05, 37K10, 37K25, 35Q53, 53B20, 53B40, 53C21, 53C60
dc.titleCurve Flows and Solitonic Hierarchies Generated by (Semi) Riemannian Metrics
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