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- W120982026 abstract "Publisher Summary This chapter describes all possible holonomy pseudogroups of the foliation induced on the closures of leaves of a complete Riemannian foliation. It explains the relationship between coverings of pseudogroups and their fundamental groups. The pseudogroup of all local isometries of a Riemannian manifold is not complete. For instance, on a 2-sphere, a Riemannian metric can be considered, which is of zero curvature on some open set and strictly positive curvature on some other open set. The definition of the holonomy pseudogroup of a foliation depends on the choice of a total transversal. An equivalence of pseudogroups induces a bijection among their covering pseudogroups. The notion of covering behaves functionally with respect to equivalences. The differentiable equivalence class of the pseudogroup induced by the closure of a complete pseudogroup on the normal bundle of an orbit closure is characterized by an equivalence class of quintuples." @default.
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- W120982026 date "1988-01-01" @default.
- W120982026 modified "2023-09-27" @default.
- W120982026 title "LEAF CLOSURES IN RIEMANNIAN FOLIATIONS" @default.
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