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Quadratic Scalar Curvature Decay and Uniform Positivity in Dimensions Four through Seven

Wang, Zhehui et al.
arXiv (All) · Papers
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differential-geometry
Let $4\le n\le7$ and let $(M^n,g)$ be a complete, connected, orientable, noncompact Riemannian manifold of positive scalar curvature. We prove that if the asymptotic quadratic scalar curvature coefficient of $g$ is greater than $(n-1)/n$, then $M$ carries a complete smooth metric whose scalar curvat
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