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SOME RIGIDITY THEOREMS FOR SELF-SHRINKERS OF THE MEAN CURVATURE FLOW
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 Title & Authors
SOME RIGIDITY THEOREMS FOR SELF-SHRINKERS OF THE MEAN CURVATURE FLOW
Lin, Hezi;
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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.
 Keywords
self-shrinkers;global rigidity;weighted manifolds;
 Language
English
 Cited by
 References
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