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

Published online by Cambridge University Press:  20 November 2018

Jong-Gug Yun
Jong-Gug Yun*
Affiliation:
Department of Mathematic Sciences Seoul National University Seoul 151-747 Korea, e-mail: jgyun@math.snu.ac.kr
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Abstract

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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

53C20mean curvatureRicci curvature

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 47 , Issue 2 , 01 June 2004 , pp. 314 - 320
Copyright
Copyright © Canadian Mathematical Society 2004

References

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