Veronese webs for bihamiltonian structures of higher corank

Mathematics – Differential Geometry

Scientific paper

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11p. To appear in: Banach Center Publications, Proc. of "Poisson Geometry" conference dedicated to the memory of Stanislaw Zak

Scientific paper

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.

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