The modular vector field of a Poisson-Nijenhuis Lie algebroid A is defined and we prove that, in case of non-degeneracy, this vector field defines a hierarchy of bi-Hamiltonian A-vector fields. This hierarchy covers an integrable hierarchy on the base manifold, which may not have a Poisson-Nijenhuis structure
We extend to Poisson manifolds the theory of hamiltonian Lie algebroids originally developed by two ...
AbstractThis paper is a survey of Poisson geometry, with an emphasis on global questions and the the...
The thesis is organized in three distinct parts. The first part ( § 1 and §2) is purely expository....
Abstract: The modular vector field of a Poisson-Nijenhuis Lie algebroid A is defined and we prove th...
Jacobi-Nijenhuis algebroids are defined as a natural generalization of Poisson-Nijenhuis algebroids...
We introduce the modular class of a twisted Jacobi structure on a Lie algebroid and establish a rel...
Abstract. We observe that the modular class of a Poisson-Nijhenhuis mani-fold has a canonical repres...
AbstractThe modular vector field plays an important role in the theory of Poisson manifolds and is i...
Abstract. We describe a new class of Lie bialgebroids associated with Poisson-Nijenhuis structures. ...
International audienceAfter a brief summary of the main properties of Poisson manifolds and Lie alge...
We show how to reduce, under certain regularity conditions, a Poisson-Nijenhuis Lie algebroid to a s...
Abstract: Jacobi-Nijenhuis algebroids are defined as a natural generalization of Poisson-Nijenhuis a...
We introduce the concept of Dirac-Nijenhuis structures as those manifolds carrying a Dirac structur...
Raquel Caseiro Modular class and integrability in Poisson and related geometries Modular class on Po...
We study pairs of structures, such as the Poisson-Nijenhuis structures, on the tangent bundle of a m...
We extend to Poisson manifolds the theory of hamiltonian Lie algebroids originally developed by two ...
AbstractThis paper is a survey of Poisson geometry, with an emphasis on global questions and the the...
The thesis is organized in three distinct parts. The first part ( § 1 and §2) is purely expository....
Abstract: The modular vector field of a Poisson-Nijenhuis Lie algebroid A is defined and we prove th...
Jacobi-Nijenhuis algebroids are defined as a natural generalization of Poisson-Nijenhuis algebroids...
We introduce the modular class of a twisted Jacobi structure on a Lie algebroid and establish a rel...
Abstract. We observe that the modular class of a Poisson-Nijhenhuis mani-fold has a canonical repres...
AbstractThe modular vector field plays an important role in the theory of Poisson manifolds and is i...
Abstract. We describe a new class of Lie bialgebroids associated with Poisson-Nijenhuis structures. ...
International audienceAfter a brief summary of the main properties of Poisson manifolds and Lie alge...
We show how to reduce, under certain regularity conditions, a Poisson-Nijenhuis Lie algebroid to a s...
Abstract: Jacobi-Nijenhuis algebroids are defined as a natural generalization of Poisson-Nijenhuis a...
We introduce the concept of Dirac-Nijenhuis structures as those manifolds carrying a Dirac structur...
Raquel Caseiro Modular class and integrability in Poisson and related geometries Modular class on Po...
We study pairs of structures, such as the Poisson-Nijenhuis structures, on the tangent bundle of a m...
We extend to Poisson manifolds the theory of hamiltonian Lie algebroids originally developed by two ...
AbstractThis paper is a survey of Poisson geometry, with an emphasis on global questions and the the...
The thesis is organized in three distinct parts. The first part ( § 1 and §2) is purely expository....
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