On the moduli space of deformations of bihamiltonian hierarchies of hydrodynamic type

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dc.creatorBarakat, Aliaa
dc.date2006-02-27
dc.date.accessioned2026-07-07T07:03:48Z
dc.date.available2026-07-07T07:03:48Z
dc.descriptionWe investigate the deformation theory of the simplest bihamiltonian structure of hydrodynamic type, that of the dispersionless KdV hierarchy. We prove that all of its deformations are quasi-trivial in the sense of B. Dubrovin and Y. Zhang, that is, trivial after allowing transformations where the first partial derivative of the field is inverted. We reformulate the question about deformations as a question about the cohomology of a certain double complex, and calculate the appropriate cohomology group.
dc.description24 pages
dc.identifierhttps://arxiv.org/abs/math/0602596
dc.identifierhttp://arxiv.org/abs/math/0602596
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/109116
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.subject37K10
dc.titleOn the moduli space of deformations of bihamiltonian hierarchies of hydrodynamic type
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