Weyl curvature and the Euler characteristic in dimension four
classification
🧮 math.DG
keywords
curvatureboundscharacteristiceulerweylcasecloseddimension
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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.
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