Abstract
In this paper, we consider the scalar curvature of a self-shrinker and get the gap theorem of the scalar curvature. We get also a relationship between the upper bound of the square of the length of the second fundamental form and the Ricci mean value.
Funding Statement
The author was supported by project number 11161056, 11531012 of NSFC.
Citation
Zhen GUO. "Scalar curvature of self-shrinker." J. Math. Soc. Japan 70 (3) 1103 - 1110, July, 2018. https://doi.org/10.2969/jmsj/73427342
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