Smoothing Riemannian Metrics with Ricci Curvature Bounds
Xianzhe Dai, Guofang Wei, Rugang Ye
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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