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

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

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. KCI Citation Count: 1

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Veröffentlicht in:Journal of the Korean Mathematical Society 2016, 53(4), , pp.769-780
1. Verfasser: Lin, Hezi
Format: Artikel
Sprache:eng
Schlagworte:
수학
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Zusammenfassung: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. KCI Citation Count: 1
ISSN:0304-9914
2234-3008
DOI:10.4134/JKMS.j140595