MURAL - Maynooth University Research Archive Library

    On the topology of G-manifolds with finitely many non-principal orbits

    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

    Download (208kB) | Preview

    Share your research

    Twitter Facebook LinkedIn GooglePlus Email more...

    Add this article to your Mendeley library


    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:
    Depositing User: Stefan Bechtluft-Sachs
    Date Deposited: 26 Jan 2016 11:21
    Journal or Publication Title: Topology and its Applications
    Publisher: Elsevier
    Refereed: Yes
    Use Licence: This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

    Repository Staff Only(login required)

    View Item Item control page


    Downloads per month over past year

    Origin of downloads