Equivariant splittings of infranilmanifolds
type: Item
instance of: scholarly article
title: Equivariant splittings of infranilmanifolds
zbMATH Open document ID: 0769.57023
DOI: 10.1007/BF02330873
author: S. Singh
published in: Periodica Mathematica Hungarica
publication date: 1993-02-08T00:00:00Z
review text: Using methods of [\textit{F. T. Farrel}, Math. J., Indiana Univ. 21, 315-346 (1971; Zbl 0242.57016)] and [\textit{F. T. Farrel} and \textit{W. C. Hsiang}, Am. J. Math. 95, 813-848 (1973; Zbl 0304.57009)] the author provides homological conditions for smooth free actions of finite groups \(G\) on certain orbitspaces ( infranilmanifolds) to allow for \(G\)- equivariant fibrations over \(S^ 1\) (with trivial action) and equivariant fiber preserving flows with orbits transversal to the fibres.
Mathematics Subject Classification ID: 57S25
Mathematics Subject Classification ID: 57S17
Mathematics Subject Classification ID: 55R10
zbMATH DE Number: 118323
zbMATH Keywords: smooth free actions of finite groups
zbMATH Keywords: infranilmanifolds
zbMATH Keywords: equivariant fibrations over \(S^ 1\)
zbMATH Keywords: equivariant fiber preserving flows
MaRDI profile type: Publication
cites work: Q3909666
cites work: Q5653385
cites work: Manifolds with π 1 = G x α T
cites work: Topological Characterization of Flat and Almost Flat Riemannian Manifolds M n (n � 3, 4)
cites work: THE SEIFERT CONSTRUCTION AND ITS APPLICATIONS TO INFRANILMANIFOLDS
cites work: Q5731354
cites work: Q5546515
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description: scientific article; zbMATH DE number 118323