We introduce the concept of Dirac-Nijenhuis structures as those manifolds carrying a Dirac structure and admitting a deformation by Nijenhuis operators which is compatible with it. This concept generalizes the notion of Poisson-Nijenhuis structure and can be adapted to include the Jacobi-Nijenhuis case
Dirac structures are the subbundles of the direct sum of the tangent and cotangent bundles to a smoo...
We investigate Nijenhuis deformations of L_∞-algebras, a notion that unifies several Nijenhuis defo...
We discuss the notion of basic cohomology for Dirac structures and, more generally, Lie algebroids. ...
We first recall some basic definitions and facts about Jacobi manifolds, generalized Lie bialgebroid...
AbstractWe first recall some basic definitions and facts about Jacobi manifolds, generalized Lie bia...
We obtain a characterization of strict Jacobi-Nijenhuis structures using the equivalent notions of g...
AbstractWe first recall some basic definitions and facts about Jacobi manifolds, generalized Lie bia...
We develop the deformation theory of a Dirac-Jacobi structure within a fixed Courant-Jacobi algebroi...
We generalize Poisson-Nijenhuis structures. We prove that on a manifold endowed with a Nijenhuis ten...
We generalize Poisson-Nijenhuis structures. We prove that on a manifold endowed with a Nijenhuis ten...
The Courant bracket defined originally on the sections of the vector bundle TM ⊕ T*M → M is extended...
Abstract. We describe a new class of Lie bialgebroids associated with Poisson-Nijenhuis structures. ...
Dirac structures are the subbundles of the direct sum of the tangent and cotangent bundles to a smoo...
Dirac structures are the subbundles of the direct sum of the tangent and cotangent bundles to a smoo...
Dirac structures are the subbundles of the direct sum of the tangent and cotangent bundles to a smoo...
Dirac structures are the subbundles of the direct sum of the tangent and cotangent bundles to a smoo...
We investigate Nijenhuis deformations of L_∞-algebras, a notion that unifies several Nijenhuis defo...
We discuss the notion of basic cohomology for Dirac structures and, more generally, Lie algebroids. ...
We first recall some basic definitions and facts about Jacobi manifolds, generalized Lie bialgebroid...
AbstractWe first recall some basic definitions and facts about Jacobi manifolds, generalized Lie bia...
We obtain a characterization of strict Jacobi-Nijenhuis structures using the equivalent notions of g...
AbstractWe first recall some basic definitions and facts about Jacobi manifolds, generalized Lie bia...
We develop the deformation theory of a Dirac-Jacobi structure within a fixed Courant-Jacobi algebroi...
We generalize Poisson-Nijenhuis structures. We prove that on a manifold endowed with a Nijenhuis ten...
We generalize Poisson-Nijenhuis structures. We prove that on a manifold endowed with a Nijenhuis ten...
The Courant bracket defined originally on the sections of the vector bundle TM ⊕ T*M → M is extended...
Abstract. We describe a new class of Lie bialgebroids associated with Poisson-Nijenhuis structures. ...
Dirac structures are the subbundles of the direct sum of the tangent and cotangent bundles to a smoo...
Dirac structures are the subbundles of the direct sum of the tangent and cotangent bundles to a smoo...
Dirac structures are the subbundles of the direct sum of the tangent and cotangent bundles to a smoo...
Dirac structures are the subbundles of the direct sum of the tangent and cotangent bundles to a smoo...
We investigate Nijenhuis deformations of L_∞-algebras, a notion that unifies several Nijenhuis defo...
We discuss the notion of basic cohomology for Dirac structures and, more generally, Lie algebroids. ...