On deformation of Poisson manifolds of Hydrodynamic type

Vincenzo Sciacca, Luca Degiovanni, Franco Magri

Risultato della ricerca: Article

36 Citazioni (Scopus)

Abstract

We study a class of deformations of infinite-dimensional Poisson manifolds of hydrodynamic type which are of interest in the theory of Frobenius manifolds. We prove two results. First, we show that the second cohomology group of these manifolds, in the Poisson-Lichnerowicz cohomology, is “essentially” trivial. Then, we prove a con- jecture of B. Dubrovin about the triviality of homogeneous formal deformations of the above manifolds.
Lingua originaleEnglish
pagine (da-a)1-24
Numero di pagine24
RivistaCommunications in Mathematical Physics
Volume253
Stato di pubblicazionePublished - 2005

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Hydrodynamics
Siméon Denis Poisson
hydrodynamics
homology
Frobenius Manifolds
Cohomology of Groups
Cohomology
Trivial
Class

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cita questo

On deformation of Poisson manifolds of Hydrodynamic type. / Sciacca, Vincenzo; Degiovanni, Luca; Magri, Franco.

In: Communications in Mathematical Physics, Vol. 253, 2005, pag. 1-24.

Risultato della ricerca: Article

Sciacca, Vincenzo ; Degiovanni, Luca ; Magri, Franco. / On deformation of Poisson manifolds of Hydrodynamic type. In: Communications in Mathematical Physics. 2005 ; Vol. 253. pagg. 1-24.
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