Bechtluft-Sachs, Stefan and Wraith, David (2012) On the topology of G-manifolds with finitely many non-principal orbits. Topology and its Applications, 159 (15). pp. 3282-3293. ISSN 1879-3207

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Abstract

We study the topology of compact manifolds with a Lie group action for which there are only finitely many non-principal orbits, and describe the possible orbit spaces which can occur. If some non-principal orbit is singular, we show that the Lie group action must have odd cohomogeneity. We pay special attention to manifolds with one and two singular orbits, and construct some infinite families of examples. To illustrate the diversity within some of these families, we also investigate homotopy types.

Item Type:	Article
Keywords:	G-manifold; Cohomogeneity; Non-principal orbits;
Academic Unit:	Faculty of Science and Engineering > Mathematics and Statistics
Item ID:	6922
Identification Number:	https://doi.org/10.1016/j.topol.2012.07.008
Depositing User:	Stefan Bechtluft-Sachs
Date Deposited:	26 Jan 2016 11:21
Journal or Publication Title:	Topology and its Applications
Publisher:	Elsevier
Refereed:	Yes
URI:	Publisher

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