Smoothing Riemannian Metrics with Ricci Curvature Bounds

1994/11/30 by Dai, Xianzhe, Wei, Guofang, Ye, Rugang
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.dg-ga/9411014

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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