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Scalar Curvature in Dimension 4

Deng, Jialong
arXiv (All) · Papers
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differential-geometry
We prove that every locally conformally flat metric on a closed, oriented hyperbolic $4$-manifold with scalar curvature bounded below by $-12$ satisfies Schoen's conjecture. We also classify all closed, oriented Riemannian $4$-manifolds of positive scalar curvature that arise as total spaces of fibe
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