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Weyl curvature and the Euler characteristic in dimension four

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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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
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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