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New gap theorem on complete Riemannian manifolds

Qi-hua Ruan
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Abstract

In this short note, we find a new gap phenomena on Riemannian manifolds, which says that for any complete noncompact Riemannian manifold with nonnegative Ricci curvature, if the scalar curvature decays faster than quadratically, then it is Ricci flat.

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Qi-hua Ruan. 2013-01-06. New gap theorem on complete Riemannian manifolds. https://arxiv.org/abs/math/0605360

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