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 |
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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 |
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