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• W2066234246 abstract "It is our purpose to study complete self-shrinkers in Euclidean space. By introducing a generalized maximum principle for $$mathcal {L}$$ -operator, we give estimates on supremum and infimum of the squared norm of the second fundamental form of self-shrinkers without assumption on polynomial volume growth, which is assumed in Cao and Li [5]. Thus, we can obtain the rigidity theorems on complete self-shrinkers without assumption on polynomial volume growth. For complete proper self-shrinkers of dimension 2 and 3, we give a classification of them under assumption of constant squared norm of the second fundamental form." @default.
• W2066234246 created "2016-06-24" @default.
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• W2066234246 date "2014-02-25" @default.
• W2066234246 modified "2023-09-24" @default.
• W2066234246 title "Complete self-shrinkers of the mean curvature flow" @default.
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• W2066234246 doi "https://doi.org/10.1007/s00526-014-0720-2" @default.
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