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Smoothing Riemannian Metrics with Ricci Curvature Bounds

Xianzhe Dai·Guofang Wei·Rugang Ye
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Abstract

We prove that Riemannian metrics with an absolute Ricci curvature bound and a conjugate radius bound can be smoothed to having a sectional curvature bound. Using this we derive a number of results about structures of manifolds with Ricci curvature bounds.

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Xianzhe Dai, Guofang Wei, Rugang Ye. 1994-11-30. Smoothing Riemannian Metrics with Ricci Curvature Bounds. https://arxiv.org/abs/dg-ga/9411014

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