Smoothing Riemannian Metrics with Ricci Curvature Bounds

Details Smoothing Riemannian Metrics with Ricci Curvature Bounds Smoothing Riemannian Metrics with Ricci Curvature Bounds

1994-11-30

arxiv.org/abs/dg-ga/9411014v1

Mathematics

Differential Geometry

15 pages, latex

Scientific paper

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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