### Abstract

Lingua originale | English |
---|---|

pagine (da-a) | 1-24 |

Numero di pagine | 24 |

Rivista | Communications in Mathematical Physics |

Volume | 253 |

Stato di pubblicazione | Published - 2005 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

### Cita questo

*Communications in Mathematical Physics*,

*253*, 1-24.

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

Risultato della ricerca: Article

*Communications in Mathematical Physics*, vol. 253, pagg. 1-24.

}

TY - JOUR

T1 - On deformation of Poisson manifolds of Hydrodynamic type

AU - Sciacca, Vincenzo

AU - Degiovanni, Luca

AU - Magri, Franco

PY - 2005

Y1 - 2005

N2 - 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.

AB - 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.

UR - http://hdl.handle.net/10447/28650

M3 - Article

VL - 253

SP - 1

EP - 24

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

ER -