English

Veronese webs for bihamiltonian structures of higher corank

Differential Geometry 2007-05-23 v1

Abstract

It is shown how the well-known class of bihamiltonian structures in general position can be extended to a wider class. A generalization of the corresponding notion of a Veronese web for this wider class is presented (in the general position case Veronese webs form complete systems of local invariants for bihamiltonian structures). Some examples are considered.

Keywords

Cite

@article{arxiv.math/0001130,
  title  = {Veronese webs for bihamiltonian structures of higher corank},
  author = {Andriy Panasyuk},
  journal= {arXiv preprint arXiv:math/0001130},
  year   = {2007}
}

Comments

11p. To appear in: Banach Center Publications, Proc. of "Poisson Geometry" conference dedicated to the memory of Stanislaw Zakrzewski, Warsaw 1998, J.Grabowski, P.Urbanski eds