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Mean Curvature Comparison with $L^1$-norms of Ricci Curvature

  Published:2004-06-01
 Printed: Jun 2004
  • Jong-Gug Yun
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Abstract

We prove an analogue of mean curvature comparison theorem in the case where the Ricci curvature below a positive constant is small in $L^1$-norm.
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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