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ArticleOriginal scientific text

Title

A type of non-equivalent pseudogroups. Application to foliations

Authors 1

Affiliations

  1. Universidade de Santiago de Compostela, Departamento de Xeometría E Topoloxía, Colexio Universitario de Lugo, 27071 Lugo, Spain

Abstract

A topological result for non-Hausdorff spaces is proved and used to obtain a non-equivalence theorem for pseudogroups of local transformations. This theorem is applied to the holonomy pseudogroup of foliations.

Keywords

ENG
pseudogroup, foliation, holonomy

Bibliography

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  2. [H2] A. Haefliger, Pseudogroups of local isometries, in: Differential Geometry, Res. Notes in Math. 131, Pitman, 1985, 174-197.
  3. [H3] A. Haefliger, Leaf closures in Riemannian foliations, in: A Fête of Topology, Academic Press, Boston, Mass., 1988, 3-32.
  4. [HR] A. Haefliger et G. Reeb, Variétés (non séparées) à une dimension et structures feuilletées du plan, Enseign. Math. 3 (1957), 107-125.
  5. [M] P. Molino, Géométrie globale des feuilletages riemanniens, Nederl. Akad. Wetensch. Indag. Math. 44 (1982), 45-76.
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Annales Polonici Mathematici
1991-1992/56/2
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Pages:
187-194
Main language of publication
English
Received
1990-12-04
Accepted
1991-04-22
Published
1992
Exact and natural sciences