A rigidity theorem on the second fundamental form for self-shrinkers

Ding, Qi

doi:10.1090/tran/7578

A rigidity theorem on the second fundamental form for self-shrinkers
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Trans. Amer. Math. Soc. 370 (2018), 8311-8329 Request permission

Abstract:

In Theorem 3.1 of The rigidity theorems of self-shrinkers (2014), the author and Y. L. Xin proved a rigidity result for self-shrinkers under the integral condition on the norm of the second fundamental form. In this paper, we relax such a bound to any finite constant (see Theorem 4.4 for details).

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