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http://dx.doi.org/10.4134/JKMS.j140595

SOME RIGIDITY THEOREMS FOR SELF-SHRINKERS OF THE MEAN CURVATURE FLOW  

Lin, Hezi (School of Mathematics and Computer Science Fujian Normal University)
Publication Information
Journal of the Korean Mathematical Society / v.53, no.4, 2016 , pp. 769-780 More about this Journal
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.
Keywords
self-shrinkers; global rigidity; weighted manifolds;
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