Add to ORKGWe generalize the notion of a Lie algebroid over infinite jet bundle by replacing the variational anchor with an N-tuple of differential operators whose images in the Lie algebra of evolutionary vector fields of the jet space are subject to collective commutation closure. The linear space of such operators becomes an algebra with bi-differential structural constants, of which we study the canonical structure. In particular, we show that these constants incorporate bi-differential analogues of Christoffel symbols
International audienceWe review the properties of transversality of distributions with respect to su...
In this paper, we develop a cosymplectic inhomogeneous formulation for a (reg-ular) Lagragian system...
We prove that the spaces tot (Γ(λ•A)⊗Rt•polly;) and tot (Γ(λ•A)⊗RD•polly;) associated with a Lie pai...
We generalize the notion of a Lie algebroid over infinite jet bundle by replacing the variational an...
We define Lie algebroids over infinite jet spaces and establish their equivalent representation thro...
We define Lie algebroids over infinite jet spaces and obtain their equivalent representation in term...
We define Lie algebroids over infinite jet spaces and obtain their equivalent representation in term...
We review the construction of homological evolutionary vector fields on infinite jet spaces and part...
We formulate a simple and convenient criterion under which skew-adjoint Z2- graded total differentia...
AbstractIn this paper the theory of jets based on Weil's near points is applied to Lie equations and...
An involutive distribution C on a smooth manifold M is a Lie-algebroid acting on sections of the nor...
AbstractLet Lχ be the line bundle over a symmetric space G/H defined by a character χ of H. We trans...
We introduce the general structures of Lie-admissible algebras in the spaces of Gâteaux differentiab...
We establish a version of Noether's first Theorem according to which the (equivalence classes of) co...
AbstractWe present a geometric approach to defining an algebra G(M) (the Colombeau algebra) of gener...
International audienceWe review the properties of transversality of distributions with respect to su...
In this paper, we develop a cosymplectic inhomogeneous formulation for a (reg-ular) Lagragian system...
We prove that the spaces tot (Γ(λ•A)⊗Rt•polly;) and tot (Γ(λ•A)⊗RD•polly;) associated with a Lie pai...
We generalize the notion of a Lie algebroid over infinite jet bundle by replacing the variational an...
We define Lie algebroids over infinite jet spaces and establish their equivalent representation thro...
We define Lie algebroids over infinite jet spaces and obtain their equivalent representation in term...
We define Lie algebroids over infinite jet spaces and obtain their equivalent representation in term...
We review the construction of homological evolutionary vector fields on infinite jet spaces and part...
We formulate a simple and convenient criterion under which skew-adjoint Z2- graded total differentia...
AbstractIn this paper the theory of jets based on Weil's near points is applied to Lie equations and...
An involutive distribution C on a smooth manifold M is a Lie-algebroid acting on sections of the nor...
AbstractLet Lχ be the line bundle over a symmetric space G/H defined by a character χ of H. We trans...
We introduce the general structures of Lie-admissible algebras in the spaces of Gâteaux differentiab...
We establish a version of Noether's first Theorem according to which the (equivalence classes of) co...
AbstractWe present a geometric approach to defining an algebra G(M) (the Colombeau algebra) of gener...
International audienceWe review the properties of transversality of distributions with respect to su...
In this paper, we develop a cosymplectic inhomogeneous formulation for a (reg-ular) Lagragian system...
We prove that the spaces tot (Γ(λ•A)⊗Rt•polly;) and tot (Γ(λ•A)⊗RD•polly;) associated with a Lie pai...