Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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SOME RIGIDITY THEOREMS FOR SELF-SHRINKERS OF THE MEAN CURVATURE FLOW

  • Lin, Hezi (School of Mathematics and Computer Science Fujian Normal University)
  • Received : 2014.10.06
  • Published : 2016.07.01
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Abstract

In this paper, we first prove some Liouville type theorems for elliptic inequalities on weighted manifolds which support a weighted Sobolev-type inequality. Secondly, applying the Liouville type theorems to self-shrinkers, we obtain some global rigidity theorems.

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References

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