Add to ORKGA new method to construct Hamiltonian functions in involution is presented. We show that on left-symmetric algebras a Nijenhuis-tensor is given in a natural manner by the usual right-multiplication. Furthermore we prove that symplectic Lie-algebras carry the structure of a Poisson-Nijenhuis manifold
In this paper we develop a geometric version of the Hamilton-Jacobi equation in the Poisson setting....
AbstractA (0,3)-tensor Tijk is introduced in an invariant form. Algebraic identities are derived tha...
We describe of the generalized Drinfeld-Sokolov Hamiltonian reduction for the construction of classi...
Newly introduced generalized Poisson structures based on suitable skew--sym\-metric contravariant te...
70 pagesThis text presents some basic notions in symplectic geometry, Poisson geometry, Hamiltonian ...
For a given skew symmetric real n × n matrix N, the bracket [X, Y]_N = XNY − YNX defines a Lie algeb...
This thesis consists of three chapters. In Chapter one, we introduce some notions and definitions fo...
We generalize Poisson-Nijenhuis structures. We prove that on a manifold endowed with a Nijenhuis ten...
AbstractIn this paper, a clear Lie-Poisson Hamilton-Jacobi theory is presented. How to construct a L...
were introduced and studied in [1] and [2] to construct a theory of conservative systems of hydrodyn...
We extend to Poisson manifolds the theory of hamiltonian Lie algebroids originally developed by two ...
We show how to reduce, under certain regularity conditions, a Poisson-Nijenhuis Lie algebroid to a s...
With the heavy top and compressible flow as guiding examples, this paper discusses the Hamiltonian s...
AbstractWe give a criterion of (micro-)kroneckerity of the linear Poisson pencil on g∗ related to an...
summary:A complete classification of natural transformations of symplectic structures into Poisson's...
In this paper we develop a geometric version of the Hamilton-Jacobi equation in the Poisson setting....
AbstractA (0,3)-tensor Tijk is introduced in an invariant form. Algebraic identities are derived tha...
We describe of the generalized Drinfeld-Sokolov Hamiltonian reduction for the construction of classi...
Newly introduced generalized Poisson structures based on suitable skew--sym\-metric contravariant te...
70 pagesThis text presents some basic notions in symplectic geometry, Poisson geometry, Hamiltonian ...
For a given skew symmetric real n × n matrix N, the bracket [X, Y]_N = XNY − YNX defines a Lie algeb...
This thesis consists of three chapters. In Chapter one, we introduce some notions and definitions fo...
We generalize Poisson-Nijenhuis structures. We prove that on a manifold endowed with a Nijenhuis ten...
AbstractIn this paper, a clear Lie-Poisson Hamilton-Jacobi theory is presented. How to construct a L...
were introduced and studied in [1] and [2] to construct a theory of conservative systems of hydrodyn...
We extend to Poisson manifolds the theory of hamiltonian Lie algebroids originally developed by two ...
We show how to reduce, under certain regularity conditions, a Poisson-Nijenhuis Lie algebroid to a s...
With the heavy top and compressible flow as guiding examples, this paper discusses the Hamiltonian s...
AbstractWe give a criterion of (micro-)kroneckerity of the linear Poisson pencil on g∗ related to an...
summary:A complete classification of natural transformations of symplectic structures into Poisson's...
In this paper we develop a geometric version of the Hamilton-Jacobi equation in the Poisson setting....
AbstractA (0,3)-tensor Tijk is introduced in an invariant form. Algebraic identities are derived tha...
We describe of the generalized Drinfeld-Sokolov Hamiltonian reduction for the construction of classi...