Smoothing Riemannian Metrics with Ricci Curvature Bounds

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.

arXiv comment15 pages, latex

References in corpus (1)

• Ricci Curvature and Betti Numbers