98 citations · 323 across the 32 of their papers we have counts for
39 papers
Cosymplectic groupoids
Rui Loja Fernandes, David Iglesias Ponte
A cosymplectic groupoid is a Lie groupoid with a multiplicative cosymplectic structure. We provide several structural results for cosymplectic groupoids and we discuss the relation…
Poisson geometry around Poisson submanifolds
Rui Loja Fernandes, Ioan Marcut
We construct a first order local model for Poisson manifolds around a large class of Poisson submanifolds and we give conditions under which this model is a local normal form. The…
Multiplicative Ehresmann connections
Rui Loja Fernandes, Ioan Marcut
We develop the theory of multiplicative Ehresmann connections for Lie groupoid submersions covering the identity, as well as their infinitesimal counterparts. We construct obstruct…
The Classifying Lie Algebroid of a Geometric Structure II: G-structures with connection
Rui Loja Fernandes, Ivan Struchiner
Given a G-structure with connection satisfying a regularity assumption we associate to it a classifying Lie algebroid. This algebroid contains all the information about the equival…
Local and global integrability of Lie brackets
Rui Loja Fernandes, Yuxuan Zhang
We survey recent results on the local and global integrability of a Lie algebroid, as well as the integrability of infinitesimal multiplicative geometric structures on it.
On deformations of compact foliations
Matias del Hoyo, Rui Loja Fernandes
We combine classic stability results for foliations with recent results on deformations of Lie groupoids and Lie algebroids to provide a cohomological characterization for rigidity…