Leaf closures in Riemannian foliations. (English) Zbl 0667.57012

A fête of topology, Pap. Dedic. Itiro Tamura, 3-32 (1988).
[For the entire collection see Zbl 0633.00020.]
From the introduction: The aim of this paper is to describe all possible holonomy pseudogroups of the foliation induced on the closures of leaves of a complete Riemannian foliation (or more generally on the normal bundle of such leaf closures). The paper contains the complete proofs of results published already in the author’s “Pseudogroups of local isometries” [in Differential geometry, Proc. 5th Int. Colloq., Santiago de Compostela/Spain 1984, Res. Notes Math. 131, 174-197 (1985; Zbl 0656.58042)].
Reviewer: G.Andrzejczak


57R30 Foliations in differential topology; geometric theory
53C12 Foliations (differential geometric aspects)