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    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

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    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
    URI:
    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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