activity
20052025
most citedDeformations of Lie groupoids

23 citations · 38 across the 11 of their papers we have counts for

collaborators

13 papers

math.DG2025

A note on Chern-Weil classes of Cartan connections

Luca Accornero, Mateus M. de Melo, Ivan Struchiner

We present a construction of Chern-Weil characteristic classes for pairs Cartan geometries sharing the same underlying data. Given any model Cartan geometry with underlying…

math.DG2025

The closure of linear foliations

Mateus de Melo, Ivan Struchiner

This paper presents a simplified geometric proof of the Molino-Alexandrino-Radeschi (MAR) Theorem, which states that the closure of a singular Riemannian foliation on a complete Ri…

math.DG2021

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…

math.DG2021★ 2 cited

Deformations of symplectic groupoids

Cristian Camilo Cárdenas, João Nuno Mestre, Ivan Struchiner

We describe the deformation cohomology of a symplectic groupoid, and use it to study deformations via Moser path methods, proving a symplectic groupoid version of the Moser Theorem…

math.DG2018

Stability of Lie group homomorphisms and Lie subgroups

Cristian Camilo Cárdenas, Ivan Struchiner

We discuss a Moser type argument to show when a deformation of a Lie group homomorphism and of a Lie subgroup is trivial. For compact groups we obtain stability results.

math.DG2018

Lie groupoids and semi-local models of Singular Riemannian foliations

Marcos M. Alexandrino, Marcelo K. Inagaki, Mateus de Melo +1

We describe a local model for any Singular Riemannian Foliation in a neighbourhood of a closed saturated submanifold of a regular stratum. Moreover we construct a Lie groupoid whic…