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    Manifolds of low cohomogeneity and positive Ricci curvature


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    Bechtluft-Sachs, Stefan and Wraith, David (2010) Manifolds of low cohomogeneity and positive Ricci curvature. Differential Geometry and Its Applications, 28 (3). pp. 282-289. ISSN 0926-2245

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    Abstract

    We classify compact asystatic G-manifolds with �xed point singular orbits in cohomogeneity � 3 up to equivariant di�eomorphism. From this we derive existence results for invariant metrics of positive Ricci curvature on such objects. We also develop non-existence results for invariant metrics of positive Ricci curvature in cohomogeneity four.
    Item Type: Article
    Keywords: Manifolds; cohomogeneity; positive Ricci curvature;
    Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
    Item ID: 2071
    Depositing User: Stefan Bechtluft-Sachs
    Date Deposited: 10 Aug 2010 15:39
    Journal or Publication Title: Differential Geometry and Its Applications
    Publisher: Elsevier
    Refereed: No
    Related URLs:
    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

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