Add to ORKGWe use foliations and connections on principal Lie groupoid bundles to prove various integrability results for Lie algebroids. In particular, we show, under quite general assumptions, that the semi-direct product associated to an infinitesimal action of one integrable Lie algebroid on another is integrable. This generalizes recent results of Dazord and Nistor
This work explores aspects of Lie theory and its interactions with symplectic geometry. More precise...
In this paper we present the solution to a longstanding problem of dierential geometry Lies third th...
In this paper we present the solution to a longstanding problem of dierential geometry Lies third th...
Abstract. Let G be a Lie groupoid with Lie algebroid g. It is known that, unlike in the case of Lie ...
Contains fulltext : 129007.pdf (author's version ) (Open Access
Let G be a Lie groupoid with Lie algebroid g. It is known that, unlike in the case of Lie groups, n...
Lie theory for the integration of Lie algebroids to Lie groupoids, on the one hand, and of Poisson m...
The infinitesimal data attached to a (“finite type” class of) G-structures with connections are its ...
The infinitesimal data attached to a (“finite type” class of) G-structures with connections are its ...
AbstractFor a Lie groupoid G with algebroid g, one says that a subalgebroid h⊂g is developable if it...
This book provides a striking synthesis of the standard theory of connections in principal bundles a...
We introduce Riemannian Lie algebroids as a generalization of Riemannian manifolds and we show that ...
A Nijenhuis operator on a manifold $M$ is a $(1,1)$ tensor $\mathcal N$ whose Nijenhuis-torsion vani...
We study various problems arising in higher geometry using derived Lie $\infty$-groupoids and algebr...
We show that the path construction integration of Lie algebroids by Lie groupoids is an actual equiv...
This work explores aspects of Lie theory and its interactions with symplectic geometry. More precise...
In this paper we present the solution to a longstanding problem of dierential geometry Lies third th...
In this paper we present the solution to a longstanding problem of dierential geometry Lies third th...
Abstract. Let G be a Lie groupoid with Lie algebroid g. It is known that, unlike in the case of Lie ...
Contains fulltext : 129007.pdf (author's version ) (Open Access
Let G be a Lie groupoid with Lie algebroid g. It is known that, unlike in the case of Lie groups, n...
Lie theory for the integration of Lie algebroids to Lie groupoids, on the one hand, and of Poisson m...
The infinitesimal data attached to a (“finite type” class of) G-structures with connections are its ...
The infinitesimal data attached to a (“finite type” class of) G-structures with connections are its ...
AbstractFor a Lie groupoid G with algebroid g, one says that a subalgebroid h⊂g is developable if it...
This book provides a striking synthesis of the standard theory of connections in principal bundles a...
We introduce Riemannian Lie algebroids as a generalization of Riemannian manifolds and we show that ...
A Nijenhuis operator on a manifold $M$ is a $(1,1)$ tensor $\mathcal N$ whose Nijenhuis-torsion vani...
We study various problems arising in higher geometry using derived Lie $\infty$-groupoids and algebr...
We show that the path construction integration of Lie algebroids by Lie groupoids is an actual equiv...
This work explores aspects of Lie theory and its interactions with symplectic geometry. More precise...
In this paper we present the solution to a longstanding problem of dierential geometry Lies third th...
In this paper we present the solution to a longstanding problem of dierential geometry Lies third th...