On the stability of leaves of Riemannian foliations
type: Item
instance of: scholarly article
title: On the stability of leaves of Riemannian foliations
zbMATH Open document ID: 0658.53026
DOI: 10.1007/BF00128023
author: S. H. Smith
published in: Annals of Global Analysis and Geometry
publication date: 1987-01-01T00:00:00Z
review text: The author proves that for a leaf in a transversally complete Riemannian foliation the conditions of being: 1) stable, 2) proper, and 3) closed are equivalent to each other; the whole manifold is a V-fibration over a Sasakian manifold if there is a proper leaf with finite holonomy. If there is an unproper leaf, then the union of all such leaves is a complement of a closed submanifold of codimension at least 2.
Mathematics Subject Classification ID: 53C12
Mathematics Subject Classification ID: 57R30
zbMATH DE Number: 4075976
zbMATH Keywords: Riemannian foliations
zbMATH Keywords: stable leaf
zbMATH Keywords: proper leaf
zbMATH Keywords: closed leaf
Wikidata QID: Q115395233
reviewed by: Grzegorz Andrzejczak
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4075976