9 citations · 11 across the 3 of their papers we have counts for
4 papers
Homogeneous G-structures
Alfonso G. Tortorella, Luca Vitagliano, Ori Yudilevich
The theory of -structures provides us with a unified framework for a large class of geometric structures, including symplectic, complex and Riemannian structures, as well as fol…
On the Inner Automorphisms of a Singular Foliation
Alfonso Garmendia, Ori Yudilevich
A singular foliation in the sense of Androulidakis and Skandalis is an involutive and locally finitely generated module of compactly supported vector fields on a manifold. An autom…
Lie Pseudogroups à la Cartan
Marius Crainic, Ori Yudilevich
We present a modern formulation of Élie Cartan's structure theory for Lie pseudogroups and prove a reduction theorem that clarifies the role of Cartan's systatic system. The paper…
The Role of the Jacobi Identity in Solving the Maurer-Cartan Structure Equation
Ori Yudilevich
We describe a method for solving the Maurer-Cartan structure equation associated with a Lie algebra that isolates the role of the Jacobi identity as an obstruction to integration.…