Complete λ-Hypersurfaces in Euclidean Spaces*

Citation:

Qingming CHENG,Guoxin WEI.Complete λ-Hypersurfaces in Euclidean Spaces*[J].Chinese Annals of Mathematics B,2022,43(5):877~892
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Authors:

Qingming CHENG; Guoxin WEI

Foundation:

JSPS Grant-in-Aid for Scienti?c Research (B) (No.16H03937), the fund of Fukuoka University (No. 225001), the National Natural Science Foundation of China (No.12171164), the Natural Science Foundation of Guangdong Province (No.2019A1515011451) and GDUPS (2018) .
Abstract: In this paper, the authors give a survey about λ-hypersurfaces in Euclidean spaces. Especially, they focus on examples and rigidity of λ-hypersurfaces in Euclidean spaces.

Keywords:

Self-shrinker, λ-Hypersurface, Mean curvature flow, Weighted volume, Rigidity theorem

Classification:

53C44, 53C42
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