Commentarii Mathematici Helvetici

Full-Text PDF (125 KB) | Metadata | Table of Contents | CMH summary
Volume 78, Issue 4, 2003, pp. 722–730
DOI: 10.1007/s00014-003-0779-4

Published online: 2003-12-31

Structure of foliations of codimension greater than one

Habib Marzougui[1] and Ezzeddine Salhi[2]

(1) Faculty of Sciences of Bizerte, Zarzouna, Tunisia
(2) Faculty of Sciences of Sfax, Tunisia

We study the structure of a foliation of high codimension which admits a transverse foliation. We introduce four families of open saturated sets. These open sets have a simple characterization and allow us to establish a structure theorem as in codimension 1.

Keywords: Foliation, leaves, regular open set, class, local minimal set

Marzougui Habib, Salhi Ezzeddine: Structure of foliations of codimension greater than one. Comment. Math. Helv. 78 (2003), 722-730. doi: 10.1007/s00014-003-0779-4