Regularization of Discontinuous Foliations: Blowing up and Sliding Conditions via Fenichel Theory

Daniel Panazzolo, Paulo Ricardo da Silva

We study the regularization of an oriented 1-foliation $\mathcal{F}$ on $M\setminus \Sigma$ where $M$ is a smooth manifold and $\Sigma \subset M$ is a closed subset, which can be interpreted…