Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8256139 | Journal of Geometry and Physics | 2016 | 31 Pages |
Abstract
We provide a complete list of two- and three-component Poisson structures of hydrodynamic type with degenerate metric, and study their homogeneous deformations. In the non-degenerate case any such deformation is trivial, that is, can be obtained via Miura transformations. We demonstrate that in the degenerate case this class of deformations is non-trivial, and depends on a certain number of arbitrary functions. This shows that the second Poisson-Lichnerowicz cohomology group does not vanish.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Andrea Savoldi,