MURAL - Maynooth University Research Archive Library



    Manifolds Carrying Large Scalar Curvature


    Bechtluft-Sachs, Stefan (1999) Manifolds Carrying Large Scalar Curvature. Asian Journal of Mathematics , 3 (2). pp. 373-380. ISSN 1093-6106

    [thumbnail of SBSs.pdf] PDF
    SBSs.pdf

    Download (160kB)
    Official URL: http://www.intlpress.com/

    Abstract

    Let W = S E be a complex spinor bundle with vanishing first Chern class over a simply connected spin manifold M of dimension  5. Up to connected sums we prove that W admits a twisted Dirac operator with positive order-0-term in the Weitzenb¨ock decomposition if and only if the characteristic numbers Aˆ(TM)[M] and ch (E)Aˆ(TM)[M] vanish. This is achieved by generalizing [2] to twisted Dirac operators.
    Item Type: Article
    Keywords: Large Scalar Curvature;
    Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
    Item ID: 1592
    Depositing User: Stefan Bechtluft-Sachs
    Date Deposited: 16 Oct 2009 09:48
    Journal or Publication Title: Asian Journal of Mathematics
    Publisher: International Press
    Refereed: Yes
    Related URLs:
    URI: https://mu.eprints-hosting.org/id/eprint/1592
    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)

    Item control page
    Item control page

    Downloads

    Downloads per month over past year

    Origin of downloads