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arXiv · 2203.02528

Curvature in the Balance: The Weyl Functional and Scalar Curvature of 4-Manifolds

Claude LeBrun
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Abstract

The infimum of the Weyl functional is shown to be surprisingly small on many compact 4-manifolds that admit positive-scalar-curvature metrics. Results are also proved that systematically compare the scalar and self-dual Weyl curvatures of certain almost-Kaehler 4-manifolds.

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Claude LeBrun. 2022-03-04. Curvature in the Balance: The Weyl Functional and Scalar Curvature of 4-Manifolds. https://arxiv.org/abs/2203.02528

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