3 papers
math.DG2005
Algebraic Nijenhuis operators and Kronecker Poisson pencils
Andriy Panasyuk
We give a criterion of (micro-)kroneckerity of the linear Poisson pencil on related to an algebraic Nijenhuis operator on a finite-dimensional…
math.DG2000
Veronese webs for bihamiltonian structures of higher corank
Andriy Panasyuk
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 we…
math.DG2000
Symplectic realizations of bihamiltonian structures
Andriy Panasyuk
A method of constructing a class of bihamiltonian structures is presented. Elements of this class are generalizations of the so-called bihamiltonian structures of general position…