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Comparison Geometry With\\$L^1$-Norms of Ricci Curvature

  Published:2006-03-01
 Printed: Mar 2006
  • Jong-Gug Yun
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Abstract

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.
Keywords: Mean curvature, Ricci curvature Mean curvature, Ricci curvature
MSC Classifications: 53C20 show english descriptions Global Riemannian geometry, including pinching [See also 31C12, 58B20] 53C20 - Global Riemannian geometry, including pinching [See also 31C12, 58B20]
 

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