WEYL CURVATURE AND THE EULER CHARACTERISTIC IN DIMENSION FOUR

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WEYL CURVATURE AND THE EULER CHARACTERISTIC IN DIMENSION FOUR (2005)

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by Harish Seshadri

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BibTeX

@MISC{Seshadri05weylcurvature,
    author = {Harish Seshadri},
    title = {WEYL CURVATURE AND THE EULER CHARACTERISTIC IN DIMENSION FOUR},
    year = {2005}
}

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Abstract

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. 1.

Keyphrases

weyl curvature euler characteristic dimension four positive scalar curvature metric euler characteristic closed riemannian 4-manifolds