Seshadri, Harish (2006) Weyl curvature and the Euler characteristic in dimension four. In: Differential Geometry And Its Applications, 24 (2). pp. 172-177.
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Abstract
We give lower bounds, in terms of the Euler characteristic, for the L-2-norm of the Weyl curvature of closed Riemannian 4-manifolds. The same bounds were obtained by Gursky, in the case of positive scalar curvature metrics.
Item Type: | Journal Article |
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Publication: | Differential Geometry And Its Applications |
Publisher: | Elsavier |
Additional Information: | Copyright of this article belongs to Elsavier. |
Keywords: | Weyl curvature;Euler characteristic;Chern–Gauss–Bonnet Theorem;Asymptotically flat manifolds;Yamabe metric. |
Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
Date Deposited: | 21 Apr 2009 11:51 |
Last Modified: | 19 Sep 2010 04:58 |
URI: | http://eprints.iisc.ac.in/id/eprint/17882 |
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