JournalscmhVol. 78, No. 4pp. 722–730

Structure of foliations of codimension greater than one

  • Habib Marzougui

    Faculty of Sciences of Bizerte, Zarzouna, Tunisia
  • Ezzeddine Salhi

    Faculty of Sciences of Sfax, Tunisia
Structure of foliations of codimension greater than one cover
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Abstract

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.

Cite this article

Habib Marzougui, Ezzeddine Salhi, Structure of foliations of codimension greater than one. Comment. Math. Helv. 78 (2003), no. 4, pp. 722–730

DOI 10.1007/S00014-003-0779-4