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arXiv · 2306.07460

Integral of scalar curvature on manifolds with a pole

Guoyi Xu
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Abstract

On any complete three dimensional Riemannian manifold with a pole and non-negative Ricci curvature, we show that the asymptotic scaling invariant integral of scalar curvature, is equal to a term determined by the asymptotic volume ratio of this Riemannian manifold.

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Guoyi Xu. 2023-06-12. Integral of scalar curvature on manifolds with a pole. https://doi.org/10.1090/proc%2F16584

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