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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 |
| 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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