Comparison Geometry With\\$L^1$-Norms of Ricci Curvature
Printed: Mar 2006
We investigate the geometry of manifolds with bounded Ricci
curvature in $L^1$-sense. In particular, we generalize the
classical volume comparison theorem to our situation and obtain a
generalized sphere theorem.
Mean curvature, Ricci curvature
53C20 - Global Riemannian geometry, including pinching [See also 31C12, 58B20]