Integral of scalar curvature on non-parabolic manifolds

Guoyi Xu

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arXiv · 1902.09038

Integral of scalar curvature on non-parabolic manifolds

Guoyi Xu

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Abstract

Using the monotonicity formulas of Colding and Minicozzi, we prove that on any complete, non-parabolic Riemannian manifold $(M^3, g)$ with non-negative Ricci curvature, the asymptotic weighted scaling invariant integral of scalar curvature has an explicit bound in form of asymptotic volume ratio.

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Guoyi Xu. 2019-02-24. Integral of scalar curvature on non-parabolic manifolds. https://arxiv.org/abs/1902.09038

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