Speaker
Jorge Vitório Pereira
(IMPA)
Description
Reeb’s local and global theorems are classical results in the theory of smooth foliations, giving conditions under which a foliation is locally or globally the pullback of a foliation by points. These results depend on assumptions such as compactness and the finiteness of the fundamental group or holonomy of a leaf. In contrast, the Kupka Theorem concerns the local study of singular foliations of dimension greater than one and provides sufficient conditions for a germ of a foliation to be the pullback of a germ of a foliation by curves. In this talk, we will present results that may be viewed as fiber products of Reeb’s and Kupka’s theorems. Based on joint work with Gabriel Michels.
Primary author
Jorge Vitório Pereira
(IMPA)
