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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…
On invariant linearization of Lie groupoids
Matias del Hoyo, Mateus de Melo
The Linearization Theorem for proper Lie groupoids organizes and generalizes several results for classic geometries. Despite the various approaches and recent works on the subject,…
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…