In this article, we describe the structure of codimension foliations with canonical singularities and numerically trivial canonical class on varieties with terminal singularities, extending a result of Loray, Pereira, and Touzet to this context.
"Codimension foliations with numerically trivial canonical class on singular spaces." Duke Math. J. 170 (1) 95 - 203, 15 January 2021. https://doi.org/10.1215/00127094-2020-0041