Weyl curvature and the Euler characteristic in dimension four

Harish Seshadri

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arXiv · math/0504535

Weyl curvature and the Euler characteristic in dimension four

Harish Seshadri

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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.

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Harish Seshadri. 2005-04-26. Weyl curvature and the Euler characteristic in dimension four. https://arxiv.org/abs/math/0504535

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